Details

Time bar (total: 2.2s)

sample24.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* y (+ 1.0 (* z z)))

rewrite18.0ms

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:
9.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.0ms
(* y (+ 1.0 (* z z)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
11.0ms
(* y (+ 1.0 (* z z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05002885

prune129.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70676
Fresh011
Picked101
Done000
Total71778

Merged error: 4.7b

Counts
78 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
3.2b
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
18.2b
(sqrt (+ 1.0 (* z z)))
18.2b
(sqrt (+ 1.0 (* z z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-exp-log add-cbrt-cube
28×sqrt-div
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×associate-*r/
14×flip3-+ flip-+
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×frac-times associate-/r/
6×associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 117
Calls
4 calls:
11.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
15.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
20.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
4.0ms
(sqrt (+ 1.0 (* z z)))
7.0ms
(sqrt (+ 1.0 (* z z)))

simplify29.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
051111716

prune213.0ms

Filtered
94 candidates to 129 candidates (-37.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done000
Total1297136

Merged error: 4.7b

Counts
136 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1.0 (* (+ 1.0 (* z z)) x))
3.3b
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
5.0b
(* (+ 1.0 (* z z)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*l*
12×associate-*r*
10×cbrt-unprod
9×cbrt-undiv
7×pow1 associate-*l/
4×associate-/r/ unswap-sqr
3×rec-exp flip3-+ 1-exp flip-+ div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r*
Counts
3 → 98
Calls
3 calls:
6.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
16.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
6.0ms
(* (+ 1.0 (* z z)) x)

series33.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
18.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
6.0ms
(* (+ 1.0 (* z z)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051991233

prune132.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh325
Picked101
Done011
Total1086114

Merged error: 2.1b

Counts
114 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1.0 (* (+ 1.0 (* z z)) x))
3.3b
(/ (/ 1.0 (* (+ 1.0 (* z z)) x)) y)
5.0b
(* (+ 1.0 (* z z)) x)

rewrite25.0ms

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-*l/ 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×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 99
Calls
3 calls:
6.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
9.0ms
(/ (/ 1.0 (* (+ 1.0 (* z z)) x)) y)
6.0ms
(* (+ 1.0 (* z z)) x)

series30.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
13.0ms
(/ (/ 1.0 (* (+ 1.0 (* z z)) x)) y)
9.0ms
(* (+ 1.0 (* z z)) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052051451

prune130.0ms

Filtered
84 candidates to 108 candidates (-28.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh134
Picked101
Done011
Total1095114

Merged error: 2.1b

Counts
114 → 5

regimes422.0ms

Accuracy

61.5% (1.7b remaining)

Error of 3.8b against oracle of 2.1b and baseline of 6.4b

bsearch29.0ms

Steps
ItersRangePoint
4
5.908051276097394e+105
1.0482406110855033e+106
7.990630438355972e+105
9
-4.551298900941256e+63
-2.1915575942831417e+58
-1.267032015460198e+63

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03545
13545

end0.0ms

sample672.0ms

Algorithm
intervals
Results
339.0ms8596×body80valid

Profiling

Loading profile data...