Details

Time bar (total: 9.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
28.0ms
(/ (- x y) (+ x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (- x y) (+ x y))

simplify2.1s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune95.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b
(/ (- x y) (+ x y))
0.0b
(pow (/ (- x y) (+ x y)) 3)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv associate-/l*
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
3 → 192
Calls
3 calls:
25.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
25.0ms
(/ (- x y) (+ x y))
23.0ms
(pow (/ (- x y) (+ x y)) 3)

series254.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
69.0ms
(/ (- x y) (+ x y))
87.0ms
(pow (/ (- x y) (+ x y)) 3)

simplify919.0ms

Counts
201 → 201
Iterations

Useful iterations: 2 (274.0ms)

IterNodesCost
01833412
15102812
215652597
done50012597

prune326.0ms

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

rewrite176.0ms

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:
12.0ms
(/ x (+ x y))
13.0ms
(/ y (+ x y))
106.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ x (+ x y))
48.0ms
(/ y (+ x y))
84.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.4s

Counts
451 → 451
Iterations

Useful iterations: done (1.4s)

IterNodesCost
042220371
192017875
2198713531
done500110012

prune510.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.1b
(log (exp (/ y (+ x y))))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
649×*-un-lft-identity
529×times-frac
396×prod-diff
383×add-sqr-sqrt
378×add-cube-cbrt
362×log-pow
342×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
24×pow1
18×fma-neg
8×add-exp-log associate-/r* add-cbrt-cube
6×log-prod associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 537
Calls
4 calls:
13.0ms
(/ x (+ x y))
12.0ms
(/ y (+ x y))
157.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
27.0ms
(log (exp (/ y (+ x y))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ x (+ x y))
41.0ms
(/ y (+ x y))
86.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
55.0ms
(log (exp (/ y (+ x y))))

simplify1.3s

Counts
549 → 549
Iterations

Useful iterations: done (1.3s)

IterNodesCost
051927051
1103920429
2210515654
done500112947

prune761.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes30.0ms

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

sample329.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid