Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
12.0ms358×body80valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 16.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
16.3b
(/ (* 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))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune90.0ms

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: 6.6b

Counts
58 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.1b
(/ 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))
17.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series108.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune208.0ms

Filtered
116 candidates to 78 candidates (67.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1097116
Fresh628
Picked101
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series739.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
183.0ms
(cbrt x)
177.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune193.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh088
Picked101
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.5b
(* (/ 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))
13.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
16.0ms
(* (/ x z) (/ y (+ z 1.0)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ y (+ z 1.0))
46.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
51.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07821119
14277918
25001910

prune228.0ms

Filtered
158 candidates to 96 candidates (60.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1544158
Fresh369
Picked101
Done000
Total15810168

Merged error: 0b

Counts
168 → 10

regimes132.0ms

Accuracy

0% (2.4b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample590.0ms

Algorithm
intervals
Results
371.0ms10757×body80valid

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