Details

Time bar (total: 2.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize5.0ms

Local error

Found 1 expressions with local error:

6.6b
(/ (* x y) (+ y 1.0))

rewrite17.0ms

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 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
16.0ms
(/ (* x y) (+ y 1.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* x y) (+ y 1.0))

simplify135.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0196146
1876121
24575120
35001120

prune48.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
11.0ms
(/ y (+ y 1.0))
28.0ms
(* x (/ y (+ y 1.0)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (+ y 1.0))
48.0ms
(* x (/ y (+ y 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0297378
11341340
25002337

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
18.0ms
(/ (+ y 1.0) y)
15.0ms
(/ x (/ (+ y 1.0) y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (+ y 1.0) y)
44.0ms
(/ x (/ (+ y 1.0) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0426819
11855780
25002778

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (* (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0)))))
0.1b
(* (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))
0.1b
(/ 1 (sqrt (+ y 1.0)))
0.1b
(/ y (sqrt (+ y 1.0)))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
106×times-frac
99×*-un-lft-identity
67×sqrt-prod
65×add-cube-cbrt
64×add-exp-log
38×add-cbrt-cube
30×associate-*l*
28×associate-*r*
25×prod-exp
19×div-exp
15×unswap-sqr
14×associate-/r* distribute-lft-out
13×pow1 cbrt-unprod
10×cbrt-undiv
8×sqrt-div associate-/r/
6×associate-/l*
5×rec-exp 1-exp associate-*r/
4×flip3-+ pow-prod-down flip-+ div-inv add-log-exp
3×pow-flip
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×sqrt-pow1 pow1/2 inv-pow
Counts
4 → 220
Calls
4 calls:
73.0ms
(* x (* (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0)))))
70.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))
14.0ms
(/ 1 (sqrt (+ y 1.0)))
12.0ms
(/ y (sqrt (+ y 1.0)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (* (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0)))))
34.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))
53.0ms
(/ 1 (sqrt (+ y 1.0)))
106.0ms
(/ y (sqrt (+ y 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07742018
137841691
250011520

prune330.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample312.0ms

Algorithm
intervals
Results
144.0ms8000×body80valid