Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
16.0ms279×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.9b
(* 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)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
55.0ms
(* y (+ 1.0 (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune163.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New651176
Fresh000
Picked101
Done000
Total661177

Merged error: 6.2b

Counts
77 → 11

localize12.0ms

Local error

Found 2 expressions with local error:

4.8b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
5.1b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite35.0ms

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:
21.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
7.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
64.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09221637
145381473
250031467

prune538.0ms

Filtered
175 candidates to 134 candidates (76.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1723175
Fresh4610
Picked101
Done000
Total1779186

Merged error: 6.2b

Counts
186 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
5.1b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite39.0ms

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:
13.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
10.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
61.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012443345
150013259

prune648.0ms

Filtered
278 candidates to 243 candidates (87.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2771278
Fresh178
Picked101
Done000
Total2798287

Merged error: 6.2b

Counts
287 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (/ 1.0 (sqrt (+ 1.0 (* z z)))) (* y (* (sqrt (+ 1.0 (* z z))) x)))
2.9b
(* y (* (sqrt (+ 1.0 (* z z))) x))
17.1b
(sqrt (+ 1.0 (* z z)))
17.1b
(sqrt (+ 1.0 (* z z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
24×sqrt-prod associate-/l*
12×sqrt-div
11×pow1
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×flip3-+ associate-/r/ flip-+
4×associate-*r/ associate-*l/ add-log-exp
3×associate-*l* pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 124
Calls
4 calls:
13.0ms
(/ (/ 1.0 (sqrt (+ 1.0 (* z z)))) (* y (* (sqrt (+ 1.0 (* z z))) x)))
6.0ms
(* y (* (sqrt (+ 1.0 (* z z))) x))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (/ 1.0 (sqrt (+ 1.0 (* z z)))) (* y (* (sqrt (+ 1.0 (* z z))) x)))
63.0ms
(* y (* (sqrt (+ 1.0 (* z z))) x))
41.0ms
(sqrt (+ 1.0 (* z z)))
46.0ms
(sqrt (+ 1.0 (* z z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06311447
125181259
250011173

prune262.0ms

Filtered
136 candidates to 98 candidates (72.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh077
Picked011
Done000
Total1368144

Merged error: 6.2b

Counts
144 → 8

regimes300.0ms

Accuracy

71.1% (0.4b remaining)

Error of 5.0b against oracle of 4.6b and baseline of 6.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample452.0ms

Algorithm
intervals
Results
282.0ms8662×body80valid

Profiling

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