Details

Time bar (total: 13.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms269×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: 7.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

4.0b
(* y (+ 1.0 (* z z)))
4.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite14.0ms

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

series30.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* y (+ 1.0 (* z z)))
20.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune115.0ms

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: 5.1b

Counts
77 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
6.2b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite36.0ms

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:
5.0ms
(/ (/ 1.0 y) x)
16.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (/ 1.0 y) x)
16.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify108.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
011322994
145722919
250012919

prune467.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2655270
Fresh437
Picked101
Done000
Total2708278

Merged error: 5.1b

Counts
278 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
2.7b
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
16.8b
(sqrt (+ 1.0 (* z z)))
16.8b
(sqrt (+ 1.0 (* z z)))

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
6882×times-frac
2950×add-sqr-sqrt
2948×add-cube-cbrt *-un-lft-identity
1836×sqrt-prod
307×associate-/l*
205×div-inv
27×add-exp-log add-cbrt-cube
22×sqrt-div
18×associate-/r/
16×cbrt-undiv div-exp
12×associate-/r*
11×flip3-+ flip-+
6×pow1
4×add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 2231
Calls
4 calls:
73.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
16.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
4.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
30.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
4.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify482.0ms

Algorithm
egg-herbie
Counts
2243 → 2243
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0500151298

prune10.3s

Filtered
1495 candidates to 2243 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New224302243
Fresh077
Picked011
Done000
Total224382251

Merged error: 5.1b

Counts
2251 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* x y))
6.2b
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
4.0ms
(/ 1.0 (* x y))
7.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1.0 (* x y))
17.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0355570
11615514
25001514

prune146.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done011
Total77885

Merged error: 5.1b

Counts
85 → 8

regimes477.0ms

Accuracy

79.3% (0.3b remaining)

Error of 5.3b against oracle of 5.0b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02921
12921

end0.0ms

sample564.0ms

Algorithm
intervals
Results
285.0ms8632×body80valid

Profiling

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