Details

Time bar (total: 14.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×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: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- x y) (+ x y))

rewrite38.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
34.0ms
(/ (- x y) (+ x y))

series104.0ms

Counts
1 → 3
Calls
1 calls:
103.0ms
(/ (- x y) (+ x y))

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
15.0ms
(/ x (+ x y))
16.0ms
(/ y (+ x y))
160.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ x (+ x y))
42.0ms
(/ y (+ x y))
122.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.4s

Counts
451 → 451
Iterations

Useful iterations: done (1.4s)

IterNodesCost
042220371
192017875
2198713531
done500110012

prune677.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- x y) (+ x y))
0.1b
(cbrt (/ (- x y) (+ x y)))
0.1b
(cbrt (/ (- x y) (+ x y)))
0.1b
(cbrt (/ (- x y) (+ x y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
121×*-un-lft-identity
80×times-frac
79×add-sqr-sqrt
78×cbrt-prod
45×add-cube-cbrt
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×add-exp-log add-cbrt-cube
5×associate-/l*
4×pow1 expm1-log1p-u flip3-+ associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3
2×associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
Counts
4 → 159
Calls
4 calls:
35.0ms
(/ (- x y) (+ x y))
9.0ms
(cbrt (/ (- x y) (+ x y)))
9.0ms
(cbrt (/ (- x y) (+ x y)))
9.0ms
(cbrt (/ (- x y) (+ x y)))

series853.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (- x y) (+ x y))
238.0ms
(cbrt (/ (- x y) (+ x y)))
231.0ms
(cbrt (/ (- x y) (+ x y)))
286.0ms
(cbrt (/ (- x y) (+ x y)))

simplify2.6s

Counts
171 → 171
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01232452
12492334
25662252
313162242
438722218
done50002218

prune499.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
57.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
6.0ms
(cbrt (- x y))
6.0ms
(cbrt (- x y))
6.0ms
(cbrt (- x y))

series701.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
167.0ms
(cbrt (- x y))
156.0ms
(cbrt (- x y))
200.0ms
(cbrt (- x y))

simplify3.0s

Counts
121 → 121
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01351434
12711320
26481262
314271156
438901116
done50001112

prune509.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
0611
1711
done711

end0.0ms

sample460.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid