Details

Time bar (total: 8.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite11.0ms

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:
10.0ms
(- x (/ 1.0 3.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(- x (/ 1.0 3.0))

simplify1.3s

Counts
18 → 18
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
038161
182156
2184146
3467146
41497146
done5000146

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x (/ 1.0 3.0)))
0.2b
(cbrt (- x (/ 1.0 3.0)))
0.2b
(cbrt (- x (/ 1.0 3.0)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite114.0ms

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:
11.0ms
(cbrt (- x (/ 1.0 3.0)))
8.0ms
(cbrt (- x (/ 1.0 3.0)))
10.0ms
(cbrt (- x (/ 1.0 3.0)))
80.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (- x (/ 1.0 3.0)))
137.0ms
(cbrt (- x (/ 1.0 3.0)))
130.0ms
(cbrt (- x (/ 1.0 3.0)))
139.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify825.0ms

Counts
119 → 119
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
01832137
14261967
215591871
done50001776

prune417.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
0.1b
(* (cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))))
0.2b
(cbrt (- x (/ 1.0 3.0)))
14.7b
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
50×add-sqr-sqrt
40×flip3-- flip--
36×frac-times
30×*-un-lft-identity
19×cbrt-prod
18×associate-*l/
15×associate-*r*
13×pow1
12×add-cube-cbrt associate-*r/ difference-of-squares
10×associate-*l*
8×add-exp-log swap-sqr distribute-lft-out--
6×times-frac add-cbrt-cube
5×unswap-sqr
4×pow1/3 add-log-exp
3×pow-prod-down
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp *-commutative cbrt-unprod
1×pow2 pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 137
Calls
4 calls:
75.0ms
(* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
75.0ms
(* (cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))))
17.0ms
(cbrt (- x (/ 1.0 3.0)))
43.0ms
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

series282.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))
40.0ms
(* (cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))))
100.0ms
(cbrt (- x (/ 1.0 3.0)))
115.0ms
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

simplify1.2s

Counts
149 → 149
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02633642
16193418
225053253
done50013155

prune438.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x (/ 1.0 3.0)))
0.7b
(/ (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
14.7b
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
14.7b
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
34×cbrt-prod
28×cbrt-div times-frac
23×add-sqr-sqrt add-cube-cbrt
12×frac-times flip3-- flip--
8×flip3-+ flip-+ associate-/l/
7×associate-/r*
6×add-exp-log associate-*r/ associate-*l/ distribute-lft-out
4×pow1 add-cbrt-cube associate-/l* add-log-exp
3×pow1/3
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 109
Calls
4 calls:
13.0ms
(cbrt (+ x (/ 1.0 3.0)))
44.0ms
(/ (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
31.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
22.0ms
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (+ x (/ 1.0 3.0)))
138.0ms
(/ (cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))))
244.0ms
(cbrt (* (+ x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))
118.0ms
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

simplify1.4s

Counts
121 → 121
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03093263
17043114
228043009
done50002950

prune616.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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

sample350.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid