Details

Time bar (total: 2.2s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
11.0ms
(/ (+ x y) (+ y 1.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (+ x y) (+ y 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0197262
1620246
21970245
35001245

prune69.0ms

Filtered
45 candidates to 30 candidates (66.7%)
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
(/ 1 (+ y 1.0))
0.1b
(* (+ x y) (/ 1 (+ y 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out
5×pow1
4×flip3-+ div-exp associate-*l* prod-exp associate-/r* associate-/r/ flip-+
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp associate-*l/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 87
Calls
2 calls:
6.0ms
(/ 1 (+ y 1.0))
24.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (+ y 1.0))
32.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0361480
11694416
25002380

prune125.0ms

Filtered
93 candidates to 53 candidates (57.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (+ x y) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)))
0.5b
(/ 1 (- (* y y) (* 1.0 1.0)))
13.3b
(* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
63×*-un-lft-identity
58×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
31×add-exp-log
26×times-frac
22×associate-*l*
19×add-cbrt-cube
18×frac-times
13×associate-*r/ prod-exp
11×pow1
10×flip3-- flip--
8×difference-of-squares
7×cbrt-unprod
6×sub-neg flip3-+ div-exp associate-*r* associate-*l/ flip-+
4×pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×*-commutative div-inv
1×pow-flip frac-2neg clear-num distribute-lft-out distribute-lft-out-- inv-pow
Counts
3 → 195
Calls
3 calls:
39.0ms
(* (+ x y) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)))
6.0ms
(/ 1 (- (* y y) (* 1.0 1.0)))
29.0ms
(* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0))

series155.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* (+ x y) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)))
48.0ms
(/ 1 (- (* y y) (* 1.0 1.0)))
44.0ms
(* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010982660
150012036

prune287.0ms

Filtered
204 candidates to 106 candidates (52.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (- (* y y) (* 1.0 1.0)))
0.5b
(/ 1.0 (- (* y y) (* 1.0 1.0)))
13.3b
(* y (/ 1 (- (* y y) (* 1.0 1.0))))
13.3b
(* (- (/ 1.0 (- (* y y) (* 1.0 1.0)))) (+ x y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
58×add-sqr-sqrt
52×*-un-lft-identity
49×add-cube-cbrt
43×associate-*l*
22×associate-*r*
21×add-exp-log
18×distribute-lft-neg-in distribute-rgt-neg-in
17×difference-of-squares
15×add-cbrt-cube
10×associate-/r/
9×pow1
8×associate-/r*
6×associate-/l*
5×flip3-- div-exp prod-exp flip-- div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv associate-*r/ cbrt-unprod distribute-neg-frac
2×frac-times rec-exp frac-2neg flip3-+ 1-exp pow-prod-down clear-num *-commutative flip-+
1×distribute-lft-neg-out distribute-rgt-in neg-mul-1 pow-flip distribute-lft-in associate-*l/ un-div-inv distribute-lft-out inv-pow
Counts
4 → 183
Calls
4 calls:
6.0ms
(/ 1 (- (* y y) (* 1.0 1.0)))
5.0ms
(/ 1.0 (- (* y y) (* 1.0 1.0)))
16.0ms
(* y (/ 1 (- (* y y) (* 1.0 1.0))))
41.0ms
(* (- (/ 1.0 (- (* y y) (* 1.0 1.0)))) (+ x y))

series217.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 1 (- (* y y) (* 1.0 1.0)))
51.0ms
(/ 1.0 (- (* y y) (* 1.0 1.0)))
69.0ms
(* y (/ 1 (- (* y y) (* 1.0 1.0))))
54.0ms
(* (- (/ 1.0 (- (* y y) (* 1.0 1.0)))) (+ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191464
150011325

prune480.0ms

Filtered
195 candidates to 153 candidates (78.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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

sample261.0ms

Algorithm
intervals
Results
143.0ms7999×body80valid
0.0ms1×body160valid