Details

Time bar (total: 2.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms342×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* x y) (- 1.0 y))

series45.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0292436
11402284
25001272

prune55.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
6.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
8.0ms
(* (* x y) (- y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
32.0ms
(* (* x y) (- y))

simplify56.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0252263
11522222
25002217

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.1b
(* x (* y (- 1.0 y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
14.0ms
(* y (- 1.0 y))
17.0ms
(* x (* y (- 1.0 y)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- 1.0 y))
43.0ms
(* x (* y (- 1.0 y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03961094
11575666
25002648

prune106.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (cbrt x) (* y (- 1.0 y)))
2.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y (- 1.0 y))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
176×distribute-rgt-in distribute-lft-in
108×prod-diff
80×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 215
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
19.0ms
(* (cbrt x) (* y (- 1.0 y)))
60.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y (- 1.0 y))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
180.0ms
(cbrt x)
202.0ms
(* (cbrt x) (* y (- 1.0 y)))
70.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y (- 1.0 y))))

simplify104.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
010333426
136061984
250011781

prune193.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

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
0146
1186
2246
3246

end0.0ms

sample370.0ms

Algorithm
intervals
Results
201.0ms10669×body80valid