Details

Time bar (total: 2.6s)

sample560.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 17.808504%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
5.0ms256×body80valid
0.0ms10×body80invalid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1423
2823
31263
41383
51403
61403

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
8.0ms
(* (+ x y) (+ z 1.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (+ x y) (+ z 1.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0265187
11154173
25002173

prune46.0ms

Filtered
24 candidates to 33 candidates (-37.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh000
Picked011
Done000
Total30434

Merged error: 0b

Counts
34 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×*-un-lft-identity
17×add-sqr-sqrt sqrt-prod
16×associate-*l/
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l* distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 112
Calls
4 calls:
3.0ms
(sqrt (+ z 1.0))
3.0ms
(sqrt (+ z 1.0))
13.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
9.0ms
(* (+ x y) (sqrt (+ z 1.0)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ z 1.0))
4.0ms
(sqrt (+ z 1.0))
7.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
13.0ms
(* (+ x y) (sqrt (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05181060
11935964
25002952

prune179.0ms

Filtered
87 candidates to 124 candidates (-42.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh022
Picked011
Done011
Total1244128

Merged error: 0b

Counts
128 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

1.3b
(* (- (* x x) (* y y)) (+ z 1.0))
1.5b
(- (* x x) (* y y))
25.0b
(/ (* (- (* x x) (* y y)) (+ z 1.0)) (- x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×frac-times flip3-- flip-- associate-/l/
7×add-cube-cbrt
6×flip3-+ flip-+
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r* associate-*l* associate-*l/ difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 78
Calls
3 calls:
7.0ms
(* (- (* x x) (* y y)) (+ z 1.0))
3.0ms
(- (* x x) (* y y))
11.0ms
(/ (* (- (* x x) (* y y)) (+ z 1.0)) (- x y))

series33.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (- (* x x) (* y y)) (+ z 1.0))
6.0ms
(- (* x x) (* y y))
14.0ms
(/ (* (- (* x x) (* y y)) (+ z 1.0)) (- x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0488720
12573637
25002629

prune90.0ms

Filtered
66 candidates to 87 candidates (-31.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh011
Picked011
Done022
Total87491

Merged error: 0b

Counts
91 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* (sqrt (+ x y)) (+ z 1.0))
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×*-un-lft-identity
17×add-sqr-sqrt sqrt-prod
16×associate-*r/
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
5×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
10.0ms
(* (sqrt (+ x y)) (+ z 1.0))
13.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
18.0ms
(* (sqrt (+ x y)) (+ z 1.0))
11.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (+ z 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05721053
12535955
25002951

prune123.0ms

Filtered
90 candidates to 130 candidates (-44.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done033
Total1304134

Merged error: 0b

Counts
134 → 4

regimes270.0ms

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
0103
1103

end0.0ms

sample893.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 17.808504%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
180.0ms8000×body80valid
7.0ms314×body80invalid

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