Details

Time bar (total: 2.8s)

analyze389.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms59×body80invalid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* 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)))

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 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune78.0ms

Filtered
33 candidates to 57 candidates (-72.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 7.5b

Counts
58 → 8

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)))
8.0b
(/ 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))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune147.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1088116
Fresh347
Picked101
Done000
Total11212124

Merged error: 0.3b

Counts
124 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite39.0ms

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))))
15.0ms
(* (/ x z) (/ y (+ z 1.0)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (+ z 1.0))
11.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
11.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07821119
14277918
25001910

prune170.0ms

Filtered
96 candidates to 158 candidates (-64.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1526158
Fresh6511
Picked101
Done000
Total15911170

Merged error: 0b

Counts
170 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.5b
(/ (* (/ x z) (/ y (+ z 1.0))) z)
3.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
35×add-exp-log add-cbrt-cube
29×add-cube-cbrt
18×associate-*r*
14×cbrt-undiv div-exp
13×associate-*l*
8×prod-exp cbrt-unprod
7×associate-/r* distribute-lft-out
5×pow1
4×associate-/r/ div-inv associate-/l* unswap-sqr
3×associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×pow-prod-down *-commutative
Counts
3 → 118
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
10.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
12.0ms
(* (/ x z) (/ y (+ z 1.0)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ y (+ z 1.0))
13.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
11.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0617830
13222711
25003711

prune113.0ms

Filtered
88 candidates to 127 candidates (-44.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1252127
Fresh3710
Picked101
Done000
Total1299138

Merged error: 0b

Counts
138 → 9

regimes236.0ms

Accuracy

0% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

analyze423.0ms

Algorithm
search

sample538.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
54.0ms1580×body80invalid

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