Details

Time bar (total: 3.3s)

analyze408.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms41×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0502111

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.0b

Counts
2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ z 1.0))
0.1b
(* z (* z (+ z 1.0)))
6.5b
(* x (/ y (* z (* z (+ z 1.0)))))
6.6b
(/ y (* z (* z (+ z 1.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×associate-*r/
14×*-un-lft-identity associate-*r* prod-exp cbrt-unprod
13×pow1
12×add-cube-cbrt
9×associate-*l*
6×cbrt-undiv times-frac div-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×*-commutative associate-/l*
2×div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* distribute-lft-out
Counts
4 → 103
Calls
4 calls:
9.0ms
(* z (+ z 1.0))
7.0ms
(* z (* z (+ z 1.0)))
11.0ms
(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms
(/ y (* z (* z (+ z 1.0))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (+ z 1.0))
5.0ms
(* z (* z (+ z 1.0)))
15.0ms
(* x (/ y (* z (* z (+ z 1.0)))))
9.0ms
(/ y (* z (* z (+ z 1.0))))

simplify30.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051581122

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1087115
Fresh101
Picked101
Done000
Total1107117

Merged error: 1.4b

Counts
117 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.9b
(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
2.1b
(/ (cbrt y) (* z (+ z 1.0)))
2.6b
(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
50×add-cbrt-cube
37×prod-exp cbrt-unprod
18×pow1
15×associate-*r*
14×cbrt-undiv div-exp
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod times-frac
9×pow-prod-down
8×associate-*r/
6×associate-/l*
4×associate-*l/ associate-/r/ add-log-exp
2×flip3-+ associate-*l* *-commutative flip-+ div-inv
1×frac-times frac-2neg pow1/3 clear-num associate-/r*
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt y)
16.0ms
(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
7.0ms
(/ (cbrt y) (* z (+ z 1.0)))
8.0ms
(* (* (cbrt y) (/ (cbrt y) z)) x)

series104.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
17.0ms
(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
23.0ms
(/ (cbrt y) (* z (+ z 1.0)))
42.0ms
(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051141389

prune212.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1186124
Fresh246
Picked101
Done000
Total12110131

Merged error: 0.0b

Counts
131 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
2.6b
(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
160×times-frac
126×*-un-lft-identity
97×associate-*r*
82×add-sqr-sqrt add-cube-cbrt
67×add-exp-log
51×add-cbrt-cube
42×cbrt-prod
32×prod-exp cbrt-unprod
22×distribute-lft-out
18×pow1
16×cbrt-undiv div-exp
9×pow-prod-down
5×div-inv
4×associate-*r/ associate-*l/ add-log-exp
2×pow1/3 associate-*l* associate-/r/ *-commutative
1×frac-times flip3-+ flip-+
Counts
4 → 176
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
30.0ms
(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
8.0ms
(* (* (cbrt y) (/ (cbrt y) z)) x)

series105.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
17.0ms
(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
44.0ms
(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify93.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049482514
149482514

prune317.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1862188
Fresh369
Picked101
Done000
Total1908198

Merged error: 0.0b

Counts
198 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (/ 1 (/ -1 y)))
0.9b
(* (* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
2.6b
(* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
226×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt add-cube-cbrt
97×associate-*r*
93×add-exp-log
83×cbrt-prod
68×add-cbrt-cube
47×prod-exp cbrt-unprod
23×cbrt-undiv div-exp
22×distribute-lft-out
18×pow1
9×pow-prod-down div-inv
4×associate-*r/ associate-*l/ add-log-exp
3×associate-/r/
2×pow1/3 associate-*l* *-commutative
1×frac-times cbrt-div flip3-+ flip-+
Counts
4 → 226
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(cbrt (/ 1 (/ -1 y)))
36.0ms
(* (* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
15.0ms
(* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x)

series138.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt (/ 1 (/ -1 y)))
38.0ms
(* (* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
54.0ms
(* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
049814478
149814478

prune506.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2371238
Fresh167
Picked011
Done000
Total2388246

Merged error: 0.0b

Counts
246 → 8

regimes187.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02525
12525

end0.0ms

sample523.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
53.0ms1562×body80invalid

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