Details

Time bar (total: 10.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (* x y) (+ y 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
18.0ms
(/ (* x y) (+ y 1.0))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (* x y) (+ y 1.0))

simplify2.5s

Counts
30 → 30
Iterations

Useful iterations: done (2.5s)

IterNodesCost
074335
1197320
2690272
32778266
done5000263

prune79.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) y)
0.1b
(/ x (/ (+ y 1.0) y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 119
Calls
2 calls:
28.0ms
(/ (+ y 1.0) y)
30.0ms
(/ x (/ (+ y 1.0) y))

series161.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (+ y 1.0) y)
74.0ms
(/ x (/ (+ y 1.0) y))

simplify3.0s

Counts
125 → 125
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01881682
14191556
212921477
338241469
done50011466

prune427.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.1b
(/ x (sqrt (+ y 1.0)))
0.2b
(/ y (sqrt (+ y 1.0)))
1.4b
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
96×times-frac
95×*-un-lft-identity
66×sqrt-prod
65×add-cube-cbrt
27×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
15×distribute-lft-out
14×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv div-exp associate-/l*
5×flip3-+ flip-+
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative hypot-def
Counts
4 → 198
Calls
4 calls:
13.0ms
(sqrt (+ y 1.0))
16.0ms
(/ x (sqrt (+ y 1.0)))
20.0ms
(/ y (sqrt (+ y 1.0)))
98.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(sqrt (+ y 1.0))
127.0ms
(/ x (sqrt (+ y 1.0)))
214.0ms
(/ y (sqrt (+ y 1.0)))
73.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

simplify2.0s

Counts
210 → 210
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02653041
16792785
220912474
done50012452

prune659.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample549.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid