Details

Time bar (total: 9.9s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

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
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- x (/ 1.0 3.0))

simplify1.3s

Counts
18 → 18
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
038161
182156
2171146
3396146
41049146
53394146
done5000146

prune31.0ms

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
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
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 → 107
Calls
4 calls:
6.0ms
(cbrt (- x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
5.0ms
(cbrt (- x (/ 1.0 3.0)))
49.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (- x (/ 1.0 3.0)))
99.0ms
(cbrt (- x (/ 1.0 3.0)))
99.0ms
(cbrt (- x (/ 1.0 3.0)))
121.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify2.5s

Counts
119 → 119
Iterations

Useful iterations: 3 (623.0ms)

IterNodesCost
01832137
14021979
213481871
349631721
done50001721

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
8.3b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
32×cbrt-prod
28×*-un-lft-identity
22×add-sqr-sqrt
18×add-exp-log
14×add-cube-cbrt
12×frac-times flip3-+ flip-+
11×pow1
9×swap-sqr
8×flip3-- pow1/3 associate-/r/ add-cbrt-cube flip-- associate-/l/
7×associate-*r* associate-*l*
6×associate-*r/ associate-*l/ distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up difference-of-squares
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 118
Calls
4 calls:
49.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
25.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
3.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
2.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series659.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
162.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
199.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
194.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify1.0s

Counts
130 → 130
Iterations

Useful iterations: 2 (190.0ms)

IterNodesCost
02153817
15593453
222312901
done50002901

prune394.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
8.3b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
370×cbrt-div
144×frac-times
114×flip3-+ flip-+
80×associate-/r/
48×associate-*r/ associate-*l/
32×cbrt-prod
28×*-un-lft-identity
27×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt
11×pow1 add-cbrt-cube
10×prod-exp cbrt-unprod
9×swap-sqr
8×flip3-- pow1/3 flip-- associate-/l/
7×associate-*r* associate-*l*
6×cbrt-undiv div-exp distribute-lft-out
4×add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up difference-of-squares
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 194
Calls
4 calls:
48.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
67.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))))
2.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
2.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
153.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))))
183.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
188.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify1.2s

Counts
206 → 206
Iterations

Useful iterations: 2 (391.0ms)

IterNodesCost
04039828
113169512
244948884
done50008884

prune876.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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
done55

end0.0ms

sample191.0ms

Algorithm
intervals
Results
106.0ms8000×body80valid