Details

Time bar (total: 1.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify13.0ms

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: 9.1b

localize5.0ms

Local error

Found 1 expressions with local error:

8.4b
(/ (* x y) (+ y 1.0))

rewrite8.0ms

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

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (* x y) (+ y 1.0))

simplify150.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0200154
1910129
24740126
35001124

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:
6.0ms
(/ (+ y 1.0) y)
8.0ms
(/ x (/ (+ y 1.0) y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (+ y 1.0) y)
50.0ms
(/ x (/ (+ y 1.0) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0434830
11898791
25002787

prune252.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

7.1b
(* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
12.1b
(/ (* x y) (- (* y y) (* 1.0 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
18×prod-diff
16×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
10×associate-*l*
8×times-frac
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv flip3-- div-exp associate-/r* associate-/r/ flip-- difference-of-squares
2×expm1-log1p-u frac-times sub-neg associate-*r/ log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 87
Calls
2 calls:
17.0ms
(* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
7.0ms
(/ (* x y) (- (* y y) (* 1.0 1.0)))

series204.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
101.0ms
(/ (* x y) (- (* y y) (* 1.0 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05461090
13194863
25001859

prune172.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
164.0ms8000×body80valid