Details

Time bar (total: 15.6s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
53.0ms
(/ (- x y) (- 1.0 y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x y) (- 1.0 y))

simplify3.4s

Counts
57 → 57
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
0105756
1260724
2638692
31504691
43931689
done5000689

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 1.0 y))
0.0b
(/ x (- 1.0 y))
0.0b
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
712×*-un-lft-identity
702×add-sqr-sqrt
693×times-frac
441×prod-diff
412×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
23.0ms
(/ y (- 1.0 y))
28.0ms
(/ x (- 1.0 y))
155.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (- 1.0 y))
55.0ms
(/ x (- 1.0 y))
68.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

simplify2.8s

Counts
580 → 580
Iterations

Useful iterations: done (2.8s)

IterNodesCost
058228320
1129625405
2282519468
done500014886

prune858.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 y) (- x y))
0.1b
(/ 1 (/ (- 1.0 y) (- x y)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 204
Calls
2 calls:
51.0ms
(/ (- 1.0 y) (- x y))
34.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- 1.0 y) (- x y))
43.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

simplify3.1s

Counts
210 → 210
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02633594
16083080
214092802
336632724
done50002724

prune439.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))

rewrite106.0ms

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:
84.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
5.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))

series483.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
97.0ms
(cbrt (- 1.0 y))
98.0ms
(cbrt (- 1.0 y))
124.0ms
(cbrt (- 1.0 y))

simplify2.1s

Counts
121 → 121
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01521619
13301463
28441391
321171271
done50011242

prune550.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample731.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid