Details

Time bar (total: 13.2s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 49
Calls
1 calls:
24.0ms
(/ (- x y) (+ x y))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(/ (- x y) (+ x y))

simplify1.8s

Counts
52 → 52
Iterations
IterNodes
done5003
32814
2572
1199
081

prune131.0ms

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

rewrite112.0ms

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-- insert-posit16 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 → 445
Calls
3 calls:
8.0ms
(/ x (+ x y))
8.0ms
(/ y (+ x y))
85.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ x (+ x y))
52.0ms
(/ y (+ x y))
89.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.9s

Counts
454 → 454
Iterations
IterNodes
done5000
22478
1976
0425

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
565×*-un-lft-identity
472×times-frac
324×prod-diff
323×add-sqr-sqrt
311×add-cube-cbrt
119×distribute-lft-out
80×associate-/r/
40×flip3-+ flip-+ div-inv
18×fma-neg
7×distribute-lft-out--
6×add-cbrt-cube add-exp-log add-log-exp
5×log1p-expm1-u
4×expm1-log1p-u pow1 associate-/r* insert-posit16 difference-of-squares
3×distribute-rgt-out-- associate-/l*
1×cbrt-undiv log1p-udef expm1-log1p clear-num sub-neg frac-2neg flip3-- diff-log div-exp log1p-expm1 frac-sub flip-- expm1-udef sub-div
Counts
4 → 433
Calls
4 calls:
46.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
11.0ms
(/ y (+ x y))
0.0ms
(log1p (expm1 (- (/ x (+ x y)) (/ y (+ x y)))))
0.0ms
(expm1 (- (/ x (+ x y)) (/ y (+ x y))))

series396.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
47.0ms
(/ y (+ x y))
132.0ms
(log1p (expm1 (- (/ x (+ x y)) (/ y (+ x y)))))
138.0ms
(expm1 (- (/ x (+ x y)) (/ y (+ x y))))

simplify2.3s

Counts
445 → 445
Iterations
IterNodes
done5001
22309
1983
0435

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.1b
(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
15.3b
(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
59×add-cbrt-cube add-exp-log
57×add-cube-cbrt
36×associate-*r*
30×pow1
25×distribute-lft-out
24×swap-sqr
22×prod-exp cbrt-unprod
19×associate-*l*
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×flip3-+ flip-+ div-inv unswap-sqr
4×expm1-log1p-u associate-/r* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow2 pow-sqr associate-/l*
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 217
Calls
4 calls:
14.0ms
(/ y (+ x y))
93.0ms
(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
47.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
56.0ms
(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ y (+ x y))
92.0ms
(* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y)))
73.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
48.0ms
(cbrt (* (* (/ y (+ x y)) (/ y (+ x y))) (/ y (+ x y))))

simplify1.8s

Counts
229 → 229
Iterations
IterNodes
done5001
22877
1702
0211

prune658.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
done17
117
012

end0.0ms

sample387.0ms

Algorithm
intervals
Results
274.0ms8000×body80valid