Details

Time bar (total: 2.7s)

sample87.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.517571%

Results
10.0ms285×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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(* y (+ 1.0 (* z z)))
3.4b
(/ (/ 1.0 x) (* 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:
5.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* y (+ 1.0 (* z z)))
19.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune129.0ms

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: 4.9b

Counts
77 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.8b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
3.1b
(* (* y (+ 1.0 (* z z))) x)
3.3b
(* 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)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
12.0ms
(* (* y (+ 1.0 (* z z))) x)
10.0ms
(* y (+ 1.0 (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0367480
12077394
25002394

prune99.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh178
Picked011
Done000
Total76985

Merged error: 4.9b

Counts
85 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1.0 (* y (+ 1.0 (* z z))))
3.1b
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
3.3b
(* y (+ 1.0 (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
12×associate-*r/ associate-/l*
10×associate-/r/
7×cbrt-undiv div-exp
6×flip3-+ flip-+ div-inv
5×pow1
4×associate-/r*
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
8.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
5.0ms
(* y (+ 1.0 (* z z)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
17.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
10.0ms
(* y (+ 1.0 (* z z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0519841
12748759
25001758

prune153.0ms

Filtered
85 candidates to 110 candidates (-29.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh257
Picked101
Done011
Total1118119

Merged error: 4.9b

Counts
119 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
6.4b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite37.0ms

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)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (/ 1.0 y) x)
18.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011322994
145722919
250012919

prune465.0ms

Filtered
233 candidates to 270 candidates (-15.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh066
Picked011
Done011
Total2699278

Merged error: 4.9b

Counts
278 → 9

regimes579.0ms

Accuracy

84.2% (0.3b remaining)

Error of 5.5b against oracle of 5.2b and baseline of 6.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02719
12719

end0.0ms

sample623.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.517571%

Results
308.0ms8567×body80valid

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