Details

Time bar (total: 12.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify8.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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:
37.0ms
(/ (- x y) (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (+ x y))

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune110.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

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:
13.0ms
(/ y (+ x y))
15.0ms
(/ x (+ x y))
142.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
84.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.4s

Counts
451 → 451
Iterations

Useful iterations: done (1.4s)

IterNodesCost
042220371
192017875
2198813531
done500110012

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite205.0ms

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×expm1-log1p-u cbrt-div log1p-expm1-u 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 → 285
Calls
4 calls:
102.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
27.0ms
(/ (- x y) (+ x y))
27.0ms
(/ (- x y) (+ x y))
31.0ms
(/ (- x y) (+ x y))

series414.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
75.0ms
(/ (- x y) (+ x y))
70.0ms
(/ (- x y) (+ x y))
71.0ms
(/ (- x y) (+ x y))

simplify2.0s

Counts
297 → 297
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02075452
13805053
210404903
320794628
done50004584

prune691.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y) (+ x y))
0.0b
(/ 1 (+ x y))
0.1b
(fma x (/ 1 (+ x y)) (/ (- y) (+ x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
52×times-frac
38×add-sqr-sqrt add-cube-cbrt
15×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
13×associate-/l*
9×add-exp-log
8×associate-/r*
7×add-cbrt-cube
5×neg-mul-1
4×pow1 associate-/r/
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg flip3-+ clear-num flip-+ div-inv
1×neg-sub0 rec-exp pow-flip 1-exp div-sub distribute-frac-neg fma-udef inv-pow
Counts
3 → 121
Calls
3 calls:
16.0ms
(/ (- y) (+ x y))
14.0ms
(/ 1 (+ x y))
0.0ms
(fma x (/ 1 (+ x y)) (/ (- y) (+ x y)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- y) (+ x y))
48.0ms
(/ 1 (+ x y))
88.0ms
(fma x (/ 1 (+ x y)) (/ (- y) (+ x y)))

simplify2.2s

Counts
130 → 130
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
01551366
12911243
26371159
315791159
done50001159

prune227.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample911.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid