Details

Time bar (total: 7.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
39.0ms
(/ (- x y) (+ x y))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ (- x y) (+ x y))

simplify498.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
078600
1193573
2744545
done5000545

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))
0.0b
(/ (- x y) (+ x y))
0.0b
(/ (- x y) (+ x y))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
321×*-un-lft-identity
190×times-frac
183×add-sqr-sqrt
160×cbrt-prod
89×add-cube-cbrt
56×distribute-lft-out
51×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
29×associate-*r* associate-*l*
15×associate-/l*
14×associate-/r/
12×add-exp-log associate-/r*
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 277
Calls
4 calls:
93.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
26.0ms
(/ (- x y) (+ x y))
22.0ms
(/ (- x y) (+ x y))
27.0ms
(/ (- x y) (+ x y))

series380.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
89.0ms
(/ (- x y) (+ x y))
72.0ms
(/ (- x y) (+ x y))
70.0ms
(/ (- x y) (+ x y))

simplify981.0ms

Counts
289 → 289
Iterations

Useful iterations: done (972.0ms)

IterNodesCost
02035368
13984975
217544825
done50024658

prune804.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(/ (* (cbrt (/ (- x y) (+ x y))) (cbrt (- x y))) (cbrt (+ x y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (+ x y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
33×add-sqr-sqrt
27×times-frac
21×add-cube-cbrt
17×cbrt-prod
13×cbrt-div
11×add-exp-log associate-/r*
9×distribute-lft-out
7×add-cbrt-cube associate-/l/
6×associate-/l* distribute-lft-out-- difference-of-squares
4×pow1 flip3-- associate-/r/ flip-- add-log-exp
3×cbrt-undiv flip3-+ div-exp flip-+
2×frac-times frac-2neg pow1/3 associate-*r/ clear-num div-inv
1×div-sub associate-*l/ prod-exp cbrt-unprod
Counts
4 → 111
Calls
4 calls:
33.0ms
(/ (- x y) (+ x y))
52.0ms
(/ (* (cbrt (/ (- x y) (+ x y))) (cbrt (- x y))) (cbrt (+ x y)))
6.0ms
(cbrt (- x y))
6.0ms
(cbrt (+ x y))

series560.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (- x y) (+ x y))
137.0ms
(/ (* (cbrt (/ (- x y) (+ x y))) (cbrt (- x y))) (cbrt (+ x y)))
190.0ms
(cbrt (- x y))
157.0ms
(cbrt (+ x y))

simplify874.0ms

Counts
123 → 123
Iterations

Useful iterations: done (871.0ms)

IterNodesCost
01981708
14671629
218251525
done50011511

prune446.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x y) (- x y))
0.0b
(* (pow (/ (* (- x y) (- x y)) (* (+ x y) (+ x y))) 1/3) (cbrt (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))
28.5b
(/ (* (- x y) (- x y)) (* (+ x y) (+ x y)))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
82×add-sqr-sqrt
49×times-frac
41×add-exp-log
34×cbrt-prod associate-*r*
32×add-cube-cbrt
22×associate-*l*
21×add-cbrt-cube
20×associate-/r/
19×unpow-prod-down
16×frac-times prod-exp
15×distribute-lft-out--
14×flip3-+ flip-+
13×flip3-- flip-- difference-of-squares unswap-sqr
11×pow1 distribute-lft-out
10×associate-/l/
9×associate-*r/ div-exp
8×associate-*l/
7×swap-sqr cbrt-unprod
6×associate-/l*
5×cbrt-undiv pow-exp associate-/r*
4×div-inv add-log-exp sqr-pow
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative
1×pow2 pow-to-exp cbrt-div pow-plus unpow1/3 pow1/3 div-sub pow-sqr pow-prod-up
Counts
4 → 205
Calls
4 calls:
52.0ms
(* (- x y) (- x y))
131.0ms
(* (pow (/ (* (- x y) (- x y)) (* (+ x y) (+ x y))) 1/3) (cbrt (/ (- x y) (+ x y))))
32.0ms
(/ (- x y) (+ x y))
57.0ms
(/ (* (- x y) (- x y)) (* (+ x y) (+ x y)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (- x y) (- x y))
120.0ms
(* (pow (/ (* (- x y) (- x y)) (* (+ x y) (+ x y))) 1/3) (cbrt (/ (- x y) (+ x y))))
87.0ms
(/ (- x y) (+ x y))
104.0ms
(/ (* (- x y) (- x y)) (* (+ x y) (+ x y)))

simplify477.0ms

Counts
217 → 217
Iterations

Useful iterations: done (469.0ms)

IterNodesCost
02834445
18174101
done50003657

prune721.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes75.0ms

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
057
167
done67

end0.0ms

sample569.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid