Details

Time bar (total: 13.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (- x y) (+ x y))

simplify478.0ms

Counts
51 → 51
Iterations
IterNodes
done5000
2763
1198
080

prune175.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite232.0ms

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:
17.0ms
(/ x (+ x y))
16.0ms
(/ y (+ x y))
138.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series233.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ x (+ x y))
58.0ms
(/ y (+ x y))
126.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.5s

Counts
451 → 451
Iterations
IterNodes
done5000
23349
1975
0422

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
61×times-frac
52×add-sqr-sqrt
47×add-cube-cbrt
40×associate-*l*
18×distribute-lft-neg-in distribute-rgt-neg-in associate-*r*
17×distribute-lft-out
13×add-cbrt-cube add-exp-log
10×associate-/r/
8×associate-/r*
6×pow1 associate-/l*
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×clear-num frac-2neg prod-exp cbrt-unprod distribute-neg-frac unswap-sqr
1×distribute-lft-neg-out frac-times neg-mul-1 pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 159
Calls
4 calls:
20.0ms
(/ y (+ x y))
17.0ms
(/ y (+ x y))
1.0ms
(fma (/ x (+ x y)) (/ x (+ x y)) (* (- (/ y (+ x y))) (/ y (+ x y))))
92.0ms
(* (- (/ y (+ x y))) (/ y (+ x y)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ y (+ x y))
77.0ms
(/ y (+ x y))
174.0ms
(fma (/ x (+ x y)) (/ x (+ x y)) (* (- (/ y (+ x y))) (/ y (+ x y))))
83.0ms
(* (- (/ y (+ x y))) (/ y (+ x y)))

simplify2.0s

Counts
171 → 171
Iterations
IterNodes
done5000
23006
1497
0158

prune955.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
0.0b
(exp (/ y (+ x y)))
2.6b
(log (exp (/ y (+ x y))))

rewrite360.0ms

Algorithm
rewrite-expression-head
Rules
646×*-un-lft-identity
529×times-frac
396×prod-diff
382×add-sqr-sqrt
377×add-cube-cbrt
362×log-pow
360×exp-prod
133×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
24×pow1
18×fma-neg
6×log-prod add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×associate-/l* associate--r+
2×distribute-lft-out-- difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 530
Calls
4 calls:
9.0ms
(/ y (+ x y))
215.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
32.0ms
(exp (/ y (+ x y)))
38.0ms
(log (exp (/ y (+ x y))))

series733.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ y (+ x y))
484.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
108.0ms
(exp (/ y (+ x y)))
73.0ms
(log (exp (/ y (+ x y))))

simplify1.4s

Counts
542 → 542
Iterations
IterNodes
done5000
23314
11082
0511

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
010

end0.0ms

sample707.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid