Details

Time bar (total: 5.0s)

sample487.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 3.303405%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
9.0ms256×body80valid
1.0ms16×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: 8.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.4b
(* y (+ 1.0 (* z z)))

rewrite15.0ms

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:
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 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

prune131.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh000
Picked101
Done000
Total69877

Merged error: 6.9b

Counts
77 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

2.7b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
6.3b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1 associate-/r/
3×rec-exp 1-exp associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 169
Calls
2 calls:
22.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
7.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
16.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09221637
145381473
250031467

prune272.0ms

Filtered
135 candidates to 175 candidates (-29.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1732175
Fresh257
Picked101
Done000
Total1767183

Merged error: 6.9b

Counts
183 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

2.6b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
6.3b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
10×associate-/r/
9×cbrt-undiv div-exp
6×associate-/r*
5×flip3-+ flip-+
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 272
Calls
2 calls:
14.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
7.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
17.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
012443345
150013259

prune513.0ms

Filtered
243 candidates to 278 candidates (-14.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2771278
Fresh156
Picked011
Done000
Total2787285

Merged error: 6.9b

Counts
285 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.4b
(/ (/ (/ (/ 1.0 x) (+ 1.0 (* z z))) (* (cbrt y) (cbrt y))) (cbrt y))
1.5b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) (* (cbrt y) (cbrt y)))
6.3b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
1323×times-frac
469×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
153×cbrt-prod
107×associate-/l*
59×add-exp-log
50×div-inv
40×add-cbrt-cube
34×cbrt-undiv div-exp
20×associate-/r/
10×flip3-+ associate-/r* flip-+
6×prod-exp cbrt-unprod
4×pow1 add-log-exp
3×frac-2neg clear-num associate-/l/
1×pow1/3
Counts
4 → 571
Calls
4 calls:
1.0ms
(cbrt y)
25.0ms
(/ (/ (/ (/ 1.0 x) (+ 1.0 (* z z))) (* (cbrt y) (cbrt y))) (cbrt y))
16.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) (* (cbrt y) (cbrt y)))
10.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(/ (/ (/ (/ 1.0 x) (+ 1.0 (* z z))) (* (cbrt y) (cbrt y))) (cbrt y))
57.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) (* (cbrt y) (cbrt y)))
13.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify132.0ms

Algorithm
egg-herbie
Counts
583 → 583
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
022279673
150019435

prune1.3s

Filtered
509 candidates to 583 candidates (-14.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5830583
Fresh055
Picked011
Done011
Total5837590

Merged error: 6.9b

Counts
590 → 7

regimes545.0ms

Accuracy

0% (1.5b remaining)

Error of 6.2b against oracle of 4.8b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample909.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 3.303405%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
283.0ms8000×body80valid
13.0ms376×body80invalid

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