Details

Time bar (total: 55.8s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune7.0ms

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 (+ x y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
56.0ms
(/ x (+ x y))

series153.0ms

Counts
1 → 3
Calls
1 calls:
153.0ms
(/ x (+ x y))

simplify5.7s

Counts
38 → 38
Iterations
IterNodes
done5002
31394
2410
1131
061

prune642.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize84.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
1.0ms
(log1p (/ x (+ x y)))
48.0ms
(/ x (+ x y))
9.0ms
(expm1 (log1p (/ x (+ x y))))

series1.5s

Counts
3 → 9
Calls
3 calls:
147.0ms
(log1p (/ x (+ x y)))
527.0ms
(/ x (+ x y))
843.0ms
(expm1 (log1p (/ x (+ x y))))

simplify11.0s

Counts
66 → 66
Iterations
IterNodes
done5009
31897
2445
1159
082

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (* x (/ 1 (+ x y))))
0.0b
(/ 1 (+ x y))
0.0b
(expm1 (log1p (* x (/ 1 (+ x y)))))
0.2b
(* x (/ 1 (+ x y)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
5×expm1-log1p-u
4×div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×log1p-udef expm1-log1p pow-flip frac-2neg log1p-expm1 associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow expm1-udef
Counts
4 → 104
Calls
4 calls:
1.0ms
(log1p (* x (/ 1 (+ x y))))
27.0ms
(/ 1 (+ x y))
1.0ms
(expm1 (log1p (* x (/ 1 (+ x y)))))
70.0ms
(* x (/ 1 (+ x y)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(log1p (* x (/ 1 (+ x y))))
68.0ms
(/ 1 (+ x y))
148.0ms
(expm1 (log1p (* x (/ 1 (+ x y)))))
89.0ms
(* x (/ 1 (+ x y)))

simplify7.1s

Counts
116 → 116
Iterations
IterNodes
done5261
32449
2738
1271
0120

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (/ x (+ x y)))
7.4b
(cbrt (/ x (+ x y)))

rewrite481.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
146.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
23.0ms
(cbrt (/ x (+ x y)))
27.0ms
(cbrt (/ x (+ x y)))
262.0ms
(cbrt (/ x (+ x y)))

series2.2s

Counts
4 → 12
Calls
4 calls:
803.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
570.0ms
(cbrt (/ x (+ x y)))
581.0ms
(cbrt (/ x (+ x y)))
275.0ms
(cbrt (/ x (+ x y)))

simplify16.4s

Counts
200 → 200
Iterations
IterNodes
done5001
42354
31092
2569
1290
0167

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes275.0ms

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
done7
17
06

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.1s8000×body80valid