Details

Time bar (total: 2.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms341×body80valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune7.0ms

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: 13.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite18.0ms

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:
7.0ms
(* (* z z) (+ z 1.0))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
14.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380385
12326297
25001297

prune73.0ms

Filtered
57 candidates to 33 candidates (42.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 7.0b

Counts
58 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.3b
(/ x (* z z))

rewrite25.0ms

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))
12.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
12.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0523706
12630610
25002610

prune138.0ms

Filtered
116 candidates to 78 candidates (32.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh235
Picked101
Done000
Total1148122

Merged error: 0.0b

Counts
122 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite41.0ms

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))
14.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
13.0ms
(* (/ x z) (/ y (+ z 1.0)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
11.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
12.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
07821119
14277924
25002916

prune168.0ms

Filtered
158 candidates to 97 candidates (38.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1544158
Fresh257
Picked101
Done000
Total1579166

Merged error: 0.0b

Counts
166 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
16×associate-*l*
15×*-un-lft-identity
13×add-cube-cbrt
11×times-frac
10×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
7×pow1 associate-*r*
4×associate-*r/
3×add-log-exp unswap-sqr
2×flip3-+ pow-prod-down associate-*l/ associate-/r/ *-commutative flip-+ div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* associate-/l/ distribute-lft-out associate-/l*
Counts
3 → 83
Calls
3 calls:
5.0ms
(* z (+ z 1.0))
11.0ms
(/ (* (/ x z) y) (* z (+ z 1.0)))
6.0ms
(* (/ x z) y)

series22.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* z (+ z 1.0))
12.0ms
(/ (* (/ x z) y) (* z (+ z 1.0)))
5.0ms
(* (/ x z) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0448483
12763385
25002385

prune71.0ms

Filtered
92 candidates to 59 candidates (35.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New89392
Fresh358
Picked011
Done000
Total929101

Merged error: 0b

Counts
101 → 9

regimes264.0ms

Accuracy

17.3% (4.0b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample751.0ms

Algorithm
intervals
Results
367.0ms10798×body80valid

Profiling

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