Details

Time bar (total: 2.3s)

analyze291.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms15×body80invalid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1263
2563
31373
42293
52893
63793
75823
88783
911933
1012343
1112343

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
8.0ms
(* (+ x y) (- 1.0 z))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (+ x y) (- 1.0 z))

simplify29.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0240207
1997192
25001190

prune52.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0b

Counts
37 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
32×frac-times
25×add-sqr-sqrt
23×flip3-- flip--
21×*-un-lft-identity sqrt-prod
16×associate-*r* associate-*l/
13×pow1
12×flip3-+ flip-+
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×distribute-lft-out
Counts
4 → 116
Calls
4 calls:
3.0ms
(sqrt (- 1.0 z))
3.0ms
(sqrt (- 1.0 z))
9.0ms
(* (+ x y) (sqrt (- 1.0 z)))
14.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 1.0 z))
3.0ms
(sqrt (- 1.0 z))
14.0ms
(* (+ x y) (sqrt (- 1.0 z)))
7.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05321094
12002996
25003984

prune188.0ms

Filtered
92 candidates to 128 candidates (-39.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh123
Picked011
Done011
Total1285133

Merged error: 0b

Counts
133 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))
0.0b
(+ (* z z) (* 1.0 z))
0.3b
(* (+ x y) (- (pow 1.0 3) (pow z 3)))
17.2b
(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*r*
20×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube add-log-exp
9×flip3-+ flip-+
8×frac-times add-cube-cbrt associate-/l/ sqr-pow
6×pow1 flip3-- flip--
5×distribute-lft-out--
4×associate-*r/ associate-*l* associate-*l/ sum-log
3×times-frac associate-/r*
2×cbrt-undiv +-commutative distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×difference-cubes associate-+r+ distribute-rgt-out frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 109
Calls
4 calls:
5.0ms
(+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))
3.0ms
(+ (* z z) (* 1.0 z))
18.0ms
(* (+ x y) (- (pow 1.0 3) (pow z 3)))
23.0ms
(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))
5.0ms
(+ (* z z) (* 1.0 z))
20.0ms
(* (+ x y) (- (pow 1.0 3) (pow z 3)))
45.0ms
(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

simplify93.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06571052
13564930
25001923

prune207.0ms

Filtered
84 candidates to 121 candidates (-44.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done022
Total1215126

Merged error: 0b

Counts
126 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x z) (* z y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x z) (* z y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(+ (* x z) (* z y))

simplify128.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
09477
132864
2115659
3367359
4500159

prune16.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done033
Total14519

Merged error: 0b

Counts
19 → 5

regimes308.0ms

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
093
193

end0.0ms

analyze282.0ms

Algorithm
search

sample373.0ms

Algorithm
intervals
Results
188.0ms7997×body80valid
13.0ms607×body80invalid
0.0ms1×body1280valid
0.0ms2×body160valid

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