Details

Time bar (total: 4.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms275×body80valid

simplify12.0ms

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: 6.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(* y (+ 1.0 (* z z)))
4.7b
(/ (/ 1.0 x) (* 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:
5.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series36.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* y (+ 1.0 (* z z)))
26.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune134.0ms

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: 4.8b

Counts
77 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
1.1b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
4.7b
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
192×times-frac
134×add-sqr-sqrt
121×cbrt-prod
110×add-cube-cbrt *-un-lft-identity
54×associate-*r*
27×add-exp-log
19×add-cbrt-cube
16×associate-/l*
12×div-inv
8×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1
4×associate-/r/ add-log-exp
3×cbrt-div associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 219
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
8.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
31.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (/ 1.0 x))
24.0ms
(cbrt (/ 1.0 x))
41.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
26.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify116.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09192794
145002591
250012499

prune683.0ms

Filtered
231 candidates to 196 candidates (15.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2274231
Fresh257
Picked011
Done000
Total22910239

Merged error: 4.5b

Counts
239 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
1.1b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
1.4b
(* (/ (cbrt (/ 1.0 x)) (cbrt y)) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))
3.3b
(* (/ (cbrt (/ 1.0 x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (/ 1.0 x)) (cbrt y)) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
403×times-frac
307×add-sqr-sqrt
285×cbrt-prod
191×add-cube-cbrt *-un-lft-identity
120×associate-*l*
87×add-exp-log
55×associate-*r*
42×add-cbrt-cube
36×prod-exp cbrt-unprod
28×unswap-sqr
27×cbrt-undiv div-exp
19×div-inv
16×associate-/l*
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ associate-/r/ add-log-exp
3×associate-/r*
2×cbrt-div flip3-+ *-commutative flip-+
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 374
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
7.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
91.0ms
(* (/ (cbrt (/ 1.0 x)) (cbrt y)) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))
29.0ms
(* (/ (cbrt (/ 1.0 x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (/ 1.0 x)) (cbrt y)) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (/ 1.0 x))
36.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
47.0ms
(* (/ (cbrt (/ 1.0 x)) (cbrt y)) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))
35.0ms
(* (/ (cbrt (/ 1.0 x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (/ 1.0 x)) (cbrt y)) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
386 → 386
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016845563
150015069

prune1.3s

Filtered
386 candidates to 343 candidates (11.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3860386
Fresh088
Picked011
Done011
Total38610396

Merged error: 4.5b

Counts
396 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1.0 y) x)
6.3b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite38.0ms

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)
15.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (/ 1.0 y) x)
22.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011322994
145722919
250012919

prune459.0ms

Filtered
270 candidates to 232 candidates (14.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2691270
Fresh167
Picked101
Done112
Total2728280

Merged error: 4.5b

Counts
280 → 8

regimes609.0ms

Accuracy

74.6% (0.6b remaining)

Error of 5.0b against oracle of 4.4b and baseline of 6.7b

bsearch32.0ms

Steps
ItersRangePoint
9
4854.348681463929
9104791804.189022
7943.8181264186505
5
-8.098749289796714e+30
-2.2120025844754284e+30
-4.016566225196775e+30

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample615.0ms

Algorithm
intervals
Results
309.0ms8594×body80valid

Profiling

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