Details

Time bar (total: 15.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite59.0ms

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
57.0ms
(/ (+ x y) (- x y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (+ x y) (- x y))

simplify3.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (319.0ms)

IterNodesCost
078606
1175582
2454554
31120547
43134547
done5002547

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(* (cbrt (- x y)) (cbrt (- x y)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
54×*-un-lft-identity
46×add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt
19×swap-sqr
18×pow1
15×associate-*r* associate-*l*
14×pow1/3
8×add-exp-log frac-times flip3-+ flip-+ distribute-lft-out unswap-sqr
6×flip3-- flip-- distribute-lft-out--
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp difference-of-squares
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 145
Calls
4 calls:
10.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
42.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
49.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

series862.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (+ x y))
191.0ms
(cbrt (+ x y))
274.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
205.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

simplify1.8s

Counts
157 → 157
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01801991
13601776
29321692
321071559
done50011550

prune606.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (- x y)) (cbrt (- x y)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
35×*-un-lft-identity
31×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-- flip-- distribute-lft-out--
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
3×flip3-+ flip-+ distribute-lft-out
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
6.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
71.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

series761.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (+ x y))
200.0ms
(cbrt (+ x y))
189.0ms
(cbrt (+ x y))
201.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

simplify3.0s

Counts
118 → 118
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01411359
12831230
26761172
314801102
442271095
done50001088

prune469.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
0.3b
(/ (- x y) (sqrt (+ x y)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
554×*-un-lft-identity
378×add-sqr-sqrt
352×sqrt-prod
250×add-cube-cbrt
88×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
48×associate-/r*
20×sqrt-div
19×associate-/r/
12×associate-/l*
10×flip3-+ flip-+ div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 420
Calls
2 calls:
76.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
48.0ms
(/ (- x y) (sqrt (+ x y)))

series196.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
87.0ms
(/ (- x y) (sqrt (+ x y)))

simplify2.5s

Counts
426 → 426
Iterations

Useful iterations: done (2.4s)

IterNodesCost
038511013
18529735
227898886
done50018558

prune468.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes61.0ms

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

sample464.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid