Details

Time bar (total: 1.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify9.0ms

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: 9.8b

localize5.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

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:
6.0ms
(/ (* x y) (+ y 1.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x y) (+ y 1.0))

simplify137.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0196146
1876121
24575120
35001120

prune52.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) y)
0.3b
(/ x (/ (+ y 1.0) y))

rewrite21.0ms

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:
7.0ms
(/ (+ y 1.0) y)
8.0ms
(/ x (/ (+ y 1.0) y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (+ y 1.0) y)
45.0ms
(/ x (/ (+ y 1.0) y))

simplify56.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0426819
11855780
25002778

prune210.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ y 1.0))
7.5b
(* (/ x (+ y 1.0)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*r* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ x (+ y 1.0))
18.0ms
(* (/ x (+ y 1.0)) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ x (+ y 1.0))
45.0ms
(* (/ x (+ y 1.0)) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0301381
11184344
25001343

prune131.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
12.5b
(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
20.2b
(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×times-frac
17×add-exp-log add-cbrt-cube
15×associate-*l* distribute-lft-out
12×unpow-prod-down cube-prod
10×add-sqr-sqrt
9×associate-/r*
8×add-cube-cbrt add-log-exp
5×pow1 flip3-+ prod-exp cbrt-unprod flip-+
4×cbrt-undiv div-exp associate-/r/
3×associate-*r* sum-cubes
2×frac-times associate-+r+ associate-*r/ sum-log div-inv
1×+-commutative distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 91
Calls
3 calls:
7.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
24.0ms
(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
82.0ms
(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series193.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
65.0ms
(/ (* x y) (+ (pow y 3) (pow 1.0 3)))
107.0ms
(* (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0535969
13108804
25002802

prune246.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample294.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid