Details

Time bar (total: 8.9s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:
12.0ms
(/ (- x y) (- 1.0 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (- x y) (- 1.0 y))

simplify972.0ms

Counts
57 → 57
Iterations

Useful iterations: done (970.0ms)

IterNodesCost
0105756
1260724
2714692
32248691
done5000689

prune95.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

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:
6.0ms
(/ y (- 1.0 y))
71.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
6.0ms
(/ x (- 1.0 y))

series124.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (- 1.0 y))
45.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
41.0ms
(/ x (- 1.0 y))

simplify1.6s

Counts
580 → 580
Iterations

Useful iterations: done (1.5s)

IterNodesCost
058228320
1130325405
2367319426
done500019361

prune863.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
12.0ms
(/ (- 1.0 y) (- x y))
15.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- 1.0 y) (- x y))
38.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

simplify1.3s

Counts
210 → 210
Iterations

Useful iterations: 2 (238.0ms)

IterNodesCost
02633594
16373176
224372802
done50002802

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
20.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (- 1.0 y))
92.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
106.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify2.3s

Counts
121 → 121
Iterations

Useful iterations: 3 (574.0ms)

IterNodesCost
01521619
13341475
211191391
340851271
done50001271

prune305.0ms

Pruning

3 alts after pruning (0 fresh and 3 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
0711
done711

end0.0ms

sample269.0ms

Algorithm
intervals
Results
144.0ms7999×body80valid
0.0ms1×body1280valid