Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
11.0ms342×body80valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

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: 12.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
11.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
8.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
73.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0380385
12326297
25001297

prune104.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New48957
Fresh000
Picked101
Done000
Total49958

Merged error: 7.5b

Counts
58 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.9b
(/ x (* z z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0ms
(/ x (* z z))

series112.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
56.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune186.0ms

Filtered
116 candidates to 78 candidates (67.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1124116
Fresh448
Picked011
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 99
Calls
4 calls:
16.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series682.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
184.0ms
(cbrt x)
187.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify62.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0519670
12260607
25001598

prune294.0ms

Filtered
111 candidates to 90 candidates (81.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh077
Picked011
Done011
Total1119120

Merged error: 0.0b

Counts
120 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.4b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.4b
(* (/ x z) (/ y (+ z 1.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
18.0ms
(* (/ x z) (/ y (+ z 1.0)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
49.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
07821119
14277918
25001910

prune241.0ms

Filtered
158 candidates to 96 candidates (60.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1553158
Fresh246
Picked101
Done202
Total1607167

Merged error: 0.0b

Counts
167 → 7

regimes151.0ms

Accuracy

0% (3.2b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample570.0ms

Algorithm
intervals
Results
349.0ms10719×body80valid