Details

Time bar (total: 8.2s)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:
39.0ms
(/ (- x y) (+ x y))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- x y) (+ x y))

simplify462.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
080616
1198588
2763560
done5000560

prune171.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))
0.5b
(expm1 (/ (- x y) (+ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log add-cbrt-cube associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 70
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
30.0ms
(/ (- x y) (+ x y))
1.0ms
(expm1 (/ (- x y) (+ x y)))

series352.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
90.0ms
(/ (- x y) (+ x y))
128.0ms
(expm1 (/ (- x y) (+ x y)))

simplify508.0ms

Counts
79 → 79
Iterations

Useful iterations: done (505.0ms)

IterNodesCost
0103875
1235819
2826763
done5000761

prune304.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite211.0ms

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))
16.0ms
(/ x (+ x y))
145.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
85.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.7s

Counts
451 → 451
Iterations

Useful iterations: 2 (541.0ms)

IterNodesCost
042220371
197517929
2333713801
done500013801

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ x (+ x y))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 250
Calls
4 calls:
17.0ms
(/ x (+ x y))
19.0ms
(/ x (+ x y))
77.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
82.0ms
(* (/ y (+ x y)) (/ y (+ x y)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ x (+ x y))
48.0ms
(/ x (+ x y))
70.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
93.0ms
(* (/ y (+ x y)) (/ y (+ x y)))

simplify536.0ms

Counts
262 → 262
Iterations

Useful iterations: done (527.0ms)

IterNodesCost
02343874
18453494
done50003190

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes123.0ms

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
079
189
done89

end0.0ms

sample579.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid