Details

Time bar (total: 11.0s)

sample24.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

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: 3.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.5b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
2.6b
(* 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:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
67.0ms
(* y (+ 1.0 (* z z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0409511
11963443
25001443

prune248.0ms

Filtered
76 candidates to 56 candidates (26.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh000
Picked101
Done000
Total69877

Merged error: 2.3b

Counts
77 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.7b
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
190×times-frac
143×add-sqr-sqrt
112×add-exp-log
87×*-un-lft-identity
83×add-cube-cbrt
72×associate-*r*
57×div-exp
48×add-cbrt-cube
40×cbrt-prod
33×prod-exp
27×cbrt-undiv
25×associate-*l*
16×unswap-sqr
15×cbrt-unprod
8×div-inv
6×pow1 rec-exp 1-exp
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 194
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
47.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

series691.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt x)
196.0ms
(cbrt x)
199.0ms
(cbrt x)
89.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013432652
150012367

prune1.7s

Filtered
206 candidates to 157 candidates (23.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2051206
Fresh077
Picked011
Done000
Total2059214

Merged error: 2.3b

Counts
214 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.7b
(/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (* (cbrt x) (cbrt x))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
312×times-frac
131×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
72×associate-/l*
63×cbrt-prod
40×add-exp-log
31×add-cbrt-cube
18×cbrt-undiv div-exp
9×prod-exp cbrt-unprod div-inv
4×pow1 associate-/r/ add-log-exp
3×pow1/3
2×flip3-+ flip-+
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 207
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
23.0ms
(/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (* (cbrt x) (cbrt x))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt x)
208.0ms
(cbrt x)
211.0ms
(cbrt x)
110.0ms
(/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (* (cbrt x) (cbrt x))))

simplify56.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012322912
150012435

prune3.5s

Filtered
219 candidates to 194 candidates (11.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2190219
Fresh077
Picked011
Done011
Total2199228

Merged error: 2.3b

Counts
228 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1.0 y) x)
3.5b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) x)
14.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (/ 1.0 y) x)
63.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011322994
145722919
250012919

prune2.3s

Filtered
270 candidates to 233 candidates (13.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2673270
Fresh336
Picked101
Done202
Total2736279

Merged error: 2.3b

Counts
279 → 6

regimes563.0ms

Accuracy

53.2% (0.9b remaining)

Error of 5.9b against oracle of 5.0b and baseline of 6.9b

bsearch31.0ms

Steps
ItersRangePoint
6
-2.2088684131812505e+23
-4.912997086568952e+22
-1.9281979022164643e+23

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample574.0ms

Algorithm
intervals
Results
281.0ms8668×body80valid

Profiling

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