Details

Time bar (total: 9.7s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

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) (+ x y))

rewrite14.0ms

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

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (+ x y))

simplify902.0ms

Counts
51 → 51
Iterations

Useful iterations: done (901.0ms)

IterNodesCost
080616
1192588
2512560
31640560
done5000553

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite116.0ms

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:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
64.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ x (+ x y))
43.0ms
(/ y (+ x y))
91.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.3s

Counts
451 → 451
Iterations

Useful iterations: done (1.3s)

IterNodesCost
042220371
193217875
2253813495
done500013369

prune659.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
1113×*-un-lft-identity
932×times-frac
648×prod-diff
635×add-sqr-sqrt
611×add-cube-cbrt
326×exp-sum
235×distribute-lft-out
158×associate-/r/
79×flip3-+ flip-+ div-inv
18×fma-neg
17×exp-prod
14×distribute-lft-out--
9×add-log-exp
8×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
6×distribute-rgt-out-- associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num rem-exp-log
1×flip3-- exp-diff frac-sub flip-- sub-div
Counts
4 → 797
Calls
4 calls:
5.0ms
(/ x (+ x y))
156.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
64.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
5.0ms
(/ y (+ x y))

series265.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x y))
95.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
79.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
50.0ms
(/ y (+ x y))

simplify1.5s

Counts
809 → 809
Iterations

Useful iterations: done (1.4s)

IterNodesCost
068740457
1121735511
2308026770
done500026662

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
52×times-frac
40×add-sqr-sqrt add-cube-cbrt
15×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
13×associate-/l*
10×add-exp-log
8×associate-/r* add-cbrt-cube
5×pow1 neg-mul-1 add-log-exp
4×expm1-log1p-u associate-/r/ log1p-expm1-u
3×exp-prod div-exp
2×cbrt-undiv frac-2neg flip3-+ clear-num flip-+ fma-udef div-inv
1×neg-sub0 rec-exp pow-flip 1-exp div-sub distribute-frac-neg exp-sum rem-exp-log inv-pow
Counts
4 → 135
Calls
4 calls:
6.0ms
(/ 1 (+ x y))
1.0ms
(exp (fma x (/ 1 (+ x y)) (/ (- y) (+ x y))))
8.0ms
(/ (- y) (+ x y))
0.0ms
(fma x (/ 1 (+ x y)) (/ (- y) (+ x y)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1 (+ x y))
99.0ms
(exp (fma x (/ 1 (+ x y)) (/ (- y) (+ x y))))
42.0ms
(/ (- y) (+ x y))
84.0ms
(fma x (/ 1 (+ x y)) (/ (- y) (+ x y)))

simplify1.6s

Counts
147 → 147
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
01701612
13261497
29931346
326701346
done50001346

prune351.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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
0813
1913
done913

end0.0ms

sample300.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid