Details

Time bar (total: 6.1s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ 1.0 3.0))

simplify1.2s

Counts
15 → 15
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
028123
178118
2174108
3393108
4952108
52521108
done5000108

prune25.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
50.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (+ x (/ 1.0 3.0)))
92.0ms
(cbrt (+ x (/ 1.0 3.0)))
91.0ms
(cbrt (+ x (/ 1.0 3.0)))
111.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify1.0s

Counts
107 → 107
Iterations

Useful iterations: 3 (390.0ms)

IterNodesCost
01511907
13401750
29311652
326441460
done50011460

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
10.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
51.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ x (/ 1.0 3.0)))
17.0ms
(+ x (/ 1.0 3.0))
19.0ms
(+ x (/ 1.0 3.0))
21.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify934.0ms

Counts
114 → 114
Iterations

Useful iterations: 3 (354.0ms)

IterNodesCost
01091634
12211116
25961030
319161010
done50001010

prune191.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ x (/ 1.0 3.0)))))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ x (/ 1.0 3.0))))))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ (/ 1.0 3.0) x))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
14×sqrt-div
13×cbrt-prod sqrt-prod
12×add-cube-cbrt cbrt-div
11×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*r/ associate-*l*
9×flip3-+ flip-+
4×frac-times pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 87
Calls
4 calls:
29.0ms
(* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ x (/ 1.0 3.0)))))
50.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ x (/ 1.0 3.0))))))
9.0ms
(cbrt (+ x (/ 1.0 3.0)))
7.0ms
(cbrt (+ (/ 1.0 3.0) x))

series400.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ x (/ 1.0 3.0)))))
113.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (* (fabs (cbrt (+ (/ 1.0 3.0) x))) (sqrt (cbrt (+ x (/ 1.0 3.0))))))
91.0ms
(cbrt (+ x (/ 1.0 3.0)))
95.0ms
(cbrt (+ (/ 1.0 3.0) x))

simplify574.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
02592419
16112257
217732086
done50002086

prune338.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample269.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid