Details

Time bar (total: 3.4s)

sample30.0ms

Algorithm
intervals
Results
12.0ms363×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune4.0ms

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: 15.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.3b
(/ (* 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))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
18.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune130.0ms

Filtered
57 candidates to 33 candidates (42.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 8.9b

Counts
58 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
7.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.0b
(/ 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))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune596.0ms

Filtered
116 candidates to 78 candidates (32.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1097116
Fresh527
Picked011
Done000
Total11410124

Merged error: 0.0b

Counts
124 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
24.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune290.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh088
Picked011
Done011
Total831295

Merged error: 0.0b

Counts
95 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite36.0ms

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))
13.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
12.0ms
(* (/ x z) (/ y (+ z 1.0)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
11.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
14.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07821119
14277918
25001910

prune619.0ms

Filtered
158 candidates to 96 candidates (39.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1517158
Fresh639
Picked101
Done022
Total15812170

Merged error: 0.0b

Counts
170 → 12

regimes325.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample720.0ms

Algorithm
intervals
Results
370.0ms10841×body80valid

Profiling

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