Details

Time bar (total: 3.1s)

analyze452.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 3.303405%

Guaranteed chance to sample good point: 89.619312%

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms15×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.8b
(* y (+ 1.0 (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series31.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
10.0ms
(* y (+ 1.0 (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune128.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh000
Picked101
Done000
Total68977

Merged error: 6.5b

Counts
77 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
3.2b
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
15.4b
(sqrt (+ 1.0 (* z z)))
15.4b
(sqrt (+ 1.0 (* z z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-exp-log add-cbrt-cube
28×sqrt-div
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×associate-*r/
14×flip3-+ flip-+
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×frac-times associate-/r/
6×associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 117
Calls
4 calls:
10.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
15.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
2.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
17.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06101242
128861023
250021005

prune203.0ms

Filtered
93 candidates to 129 candidates (-38.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh178
Picked011
Done000
Total1299138

Merged error: 6.5b

Counts
138 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
2.9b
(* (* y (+ 1.0 (* z z))) x)
4.8b
(* y (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*r*
4×associate-*l* pow-prod-down associate-*l/
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
6.0ms
(* (* y (+ 1.0 (* z z))) x)
5.0ms
(* y (+ 1.0 (* z z)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
12.0ms
(* (* y (+ 1.0 (* z z))) x)
10.0ms
(* y (+ 1.0 (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0367480
12077394
25002394

prune90.0ms

Filtered
51 candidates to 76 candidates (-49.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh257
Picked011
Done011
Total77885

Merged error: 6.5b

Counts
85 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

4.8b
(* y (+ 1.0 (* z z)))
14.7b
(cbrt (* y (+ 1.0 (* z z))))
14.7b
(cbrt (* y (+ 1.0 (* z z))))
14.7b
(cbrt (* y (+ 1.0 (* z z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
5.0ms
(* y (+ 1.0 (* z z)))
4.0ms
(cbrt (* y (+ 1.0 (* z z))))
4.0ms
(cbrt (* y (+ 1.0 (* z z))))
5.0ms
(cbrt (* y (+ 1.0 (* z z))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* y (+ 1.0 (* z z)))
34.0ms
(cbrt (* y (+ 1.0 (* z z))))
32.0ms
(cbrt (* y (+ 1.0 (* z z))))
33.0ms
(cbrt (* y (+ 1.0 (* z z))))

simplify102.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0259550
11022509
24297481
35003481

prune166.0ms

Filtered
56 candidates to 67 candidates (-19.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done022
Total67875

Merged error: 6.5b

Counts
75 → 8

regimes449.0ms

Accuracy

0% (1.6b remaining)

Error of 6.4b against oracle of 4.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

analyze438.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 3.303405%

Guaranteed chance to sample good point: 89.619312%

sample486.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
12.0ms349×body80invalid

Profiling

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