Details

Time bar (total: 10.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
17.0ms
(- x (/ 1.0 3.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(- x (/ 1.0 3.0))

simplify1.2s

Counts
18 → 18
Iterations
IterNodes
done5000
41468
3467
2184
182
038

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))))

rewrite103.0ms

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×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
11.0ms
(cbrt (- x (/ 1.0 3.0)))
10.0ms
(cbrt (- x (/ 1.0 3.0)))
7.0ms
(cbrt (- x (/ 1.0 3.0)))
72.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt (- x (/ 1.0 3.0)))
169.0ms
(cbrt (- x (/ 1.0 3.0)))
132.0ms
(cbrt (- x (/ 1.0 3.0)))
133.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify955.0ms

Counts
119 → 119
Iterations
IterNodes
done5001
21560
1423
0183

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x)))
10.2b
(/ (* (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x))))
17.1b
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
17.1b
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
184×cbrt-div
152×frac-times
80×associate-/l/
72×flip3-+ flip-+
60×flip3-- flip--
52×associate-*l/ associate-*r/
26×cbrt-prod *-un-lft-identity
20×add-sqr-sqrt
18×add-exp-log
12×add-cube-cbrt
11×pow1
9×swap-sqr
8×add-cbrt-cube pow1/3 associate-/r/
7×associate-*r* associate-*l*
6×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
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus *-commutative div-inv associate-/l*
Counts
4 → 196
Calls
4 calls:
128.0ms
(* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x)))
63.0ms
(/ (* (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x))))
17.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
22.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x)))
214.0ms
(/ (* (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (* (cbrt (+ (/ 1.0 3.0) x)) (cbrt (+ (/ 1.0 3.0) x))))
304.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
348.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

simplify689.0ms

Counts
208 → 208
Iterations
IterNodes
done5000
11120
0383

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
1.2b
(pow (cbrt (- x (/ 1.0 3.0))) (* 2 3))
18.2b
(pow (pow (cbrt (- x (/ 1.0 3.0))) (* 2 3)) 1/3)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
31×unpow-prod-down
24×cbrt-prod
20×*-un-lft-identity
12×add-cube-cbrt
8×difference-of-squares
7×add-exp-log
5×pow1 pow-exp
4×pow-unpow cbrt-div times-frac add-cbrt-cube distribute-lft-out-- add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
2×flip3-- flip--
1×unpow1/3
Counts
4 → 84
Calls
4 calls:
14.0ms
(cbrt (- x (/ 1.0 3.0)))
14.0ms
(cbrt (- x (/ 1.0 3.0)))
32.0ms
(pow (cbrt (- x (/ 1.0 3.0))) (* 2 3))
46.0ms
(pow (pow (cbrt (- x (/ 1.0 3.0))) (* 2 3)) 1/3)

series909.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- x (/ 1.0 3.0)))
105.0ms
(cbrt (- x (/ 1.0 3.0)))
303.0ms
(pow (cbrt (- x (/ 1.0 3.0))) (* 2 3))
355.0ms
(pow (pow (cbrt (- x (/ 1.0 3.0))) (* 2 3)) 1/3)

simplify953.0ms

Counts
96 → 96
Iterations
IterNodes
done5001
21928
1572
0202

prune482.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample430.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid