Details

Time bar (total: 15.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
24.0ms
(/ (- x y) (+ x y))

series70.0ms

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

simplify2.1s

Counts
51 → 51
Iterations
IterNodes
done5028
32581
2579
1198
080

prune191.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))

rewrite133.0ms

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-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
8.0ms
(/ x (+ x y))
8.0ms
(/ y (+ x y))
84.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ x (+ x y))
66.0ms
(/ y (+ x y))
88.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.2s

Counts
451 → 451
Iterations
IterNodes
done5003
22449
1973
0422

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
16×distribute-lft-out
10×associate-/r/
7×add-log-exp
6×add-cbrt-cube add-exp-log
5×flip3-+ flip-+ log1p-expm1-u div-inv
4×expm1-log1p-u pow1 associate-/r*
3×associate-/l*
2×log1p-udef diff-log difference-of-squares
1×cbrt-undiv expm1-log1p clear-num sub-neg frac-2neg flip3-- div-exp log1p-expm1 flip-- distribute-lft-out-- expm1-udef
Counts
4 → 147
Calls
4 calls:
13.0ms
(/ y (+ x y))
0.0ms
(log1p (expm1 (/ y (+ x y))))
80.0ms
(- (/ x (+ x y)) (log1p (expm1 (/ y (+ x y)))))
1.0ms
(expm1 (/ y (+ x y)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ y (+ x y))
98.0ms
(log1p (expm1 (/ y (+ x y))))
150.0ms
(- (/ x (+ x y)) (log1p (expm1 (/ y (+ x y)))))
81.0ms
(expm1 (/ y (+ x y)))

simplify2.1s

Counts
159 → 159
Iterations
IterNodes
done5001
33819
21015
1400
0192

prune778.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ x (+ x y)))
0.0b
(/ (exp (/ x (+ x y))) (+ 1 (expm1 (/ y (+ x y)))))
0.5b
(+ 1 (expm1 (/ y (+ x y))))
0.5b
(expm1 (/ y (+ x y)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×times-frac
22×add-sqr-sqrt add-cube-cbrt
18×exp-prod
8×distribute-lft-out
7×add-log-exp
6×add-cbrt-cube
5×add-exp-log log1p-expm1-u
4×expm1-log1p-u pow1 associate-/r* associate-/r/
3×fma-def flip3-+ flip-+ associate-/l*
2×div-inv expm1-udef
1×cbrt-undiv +-commutative expm1-log1p clear-num associate-+r- sum-log frac-2neg div-exp rem-exp-log
Counts
4 → 92
Calls
4 calls:
15.0ms
(exp (/ x (+ x y)))
51.0ms
(/ (exp (/ x (+ x y))) (+ 1 (expm1 (/ y (+ x y)))))
4.0ms
(+ 1 (expm1 (/ y (+ x y))))
0.0ms
(expm1 (/ y (+ x y)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(exp (/ x (+ x y)))
123.0ms
(/ (exp (/ x (+ x y))) (+ 1 (expm1 (/ y (+ x y)))))
84.0ms
(+ 1 (expm1 (/ y (+ x y))))
89.0ms
(expm1 (/ y (+ x y)))

simplify3.1s

Counts
104 → 104
Iterations
IterNodes
done5000
42811
31286
2634
1254
0131

prune613.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample552.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid