Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1193
2433
3553
4593
5673
6873
71233
81983
93813
104543
116293
128073
1311673
1415043
1521863
1650023

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
6.0ms
(* (+ x 1.0) y)

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
5.0ms
(* (+ x 1.0) y)

simplify76.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0149159
1616147
23110145
35001145

prune54.0ms

Filtered
39 candidates to 28 candidates (28.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
0.1b
(* (sqrt (+ x 1.0)) y)
0.1b
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*l*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*l/
8×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*r/ *-commutative unswap-sqr
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 pow1/2 diff-log flip--
Counts
4 → 83
Calls
4 calls:
5.0ms
(sqrt (+ x 1.0))
12.0ms
(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
7.0ms
(* (sqrt (+ x 1.0)) y)
13.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series25.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
5.0ms
(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
12.0ms
(* (sqrt (+ x 1.0)) y)
5.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0420651
11489561
25001545

prune140.0ms

Filtered
95 candidates to 63 candidates (33.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh022
Picked011
Done011
Total95499

Merged error: 0b

Counts
99 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
0.0b
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
3.1b
(* (+ (pow x 3) (pow 1.0 3)) y)
12.9b
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube add-log-exp
9×associate-*l*
8×add-cube-cbrt
6×pow1
5×distribute-lft-out
4×unpow-prod-down flip3-+ cube-prod associate-*l/ flip-+
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv sub-neg associate-+r+ diff-log div-exp prod-exp sum-log associate-/r/ cbrt-unprod associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 80
Calls
4 calls:
20.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
6.0ms
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
15.0ms
(* (+ (pow x 3) (pow 1.0 3)) y)
19.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
3.0ms
(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
10.0ms
(* (+ (pow x 3) (pow 1.0 3)) y)
13.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0390891
11862783
25003777

prune172.0ms

Filtered
92 candidates to 67 candidates (27.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh101
Picked101
Done112
Total94296

Merged error: 0b

Counts
96 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt associate--l+ add-cbrt-cube
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out flip3-- distribute-lft-in flip3-+ diff-log distribute-rgt1-in sum-log flip-- flip-+
Counts
2 → 27
Calls
2 calls:
5.0ms
(- (* 1.0 (+ y (* x y))) x)
3.0ms
(+ y (* x y))

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* 1.0 (+ y (* x y))) x)
5.0ms
(+ y (* x y))

simplify90.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0155165
1552150
22820146
35001146

prune32.0ms

Filtered
33 candidates to 24 candidates (27.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done011
Total33235

Merged error: 0b

Counts
35 → 2

regimes67.0ms

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
0104
1104

end0.0ms

sample441.0ms

Algorithm
intervals
Results
202.0ms9193×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

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