Details

Time bar (total: 4.9s)

analyze1.1s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample32.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms85×body80invalid

simplify179.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (178.0ms)

IterNodesCost
0491013
1491013

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.4b

Counts
2 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
8.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(* (* z 9.0) t)
4.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
18.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05341704

prune121.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54862
Fresh101
Picked011
Done000
Total55964

Merged error: 0.0b

Counts
64 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* x (/ y a)))
0.2b
(* 4.5 (* z (/ t a)))
5.6b
(* z (/ t a))
5.8b
(* x (/ y a))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-sqr-sqrt add-cbrt-cube
28×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
18×pow1
14×prod-exp cbrt-unprod
12×associate-*l*
8×pow-prod-down
6×associate-*r/
4×cbrt-undiv div-exp *-commutative add-log-exp unswap-sqr
2×div-inv
Counts
4 → 106
Calls
4 calls:
6.0ms
(* 0.5 (* x (/ y a)))
6.0ms
(* 4.5 (* z (/ t a)))
6.0ms
(* z (/ t a))
6.0ms
(* x (/ y a))

series21.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 0.5 (* x (/ y a)))
6.0ms
(* 4.5 (* z (/ t a)))
5.0ms
(* z (/ t a))
5.0ms
(* x (/ y a))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05050826

prune182.0ms

Filtered
78 candidates to 118 candidates (-51.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1126118
Fresh257
Picked101
Done011
Total11512127

Merged error: 0.0b

Counts
127 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt 4.5) (cbrt 4.5)) (* z (* (/ t a) (cbrt 4.5))))
0.2b
(* (/ t a) (cbrt 4.5))
5.6b
(* z (* (/ t a) (cbrt 4.5)))
5.8b
(* x (/ y a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
39×add-cbrt-cube
37×add-sqr-sqrt
34×pow1
31×prod-exp cbrt-unprod
22×add-cube-cbrt *-un-lft-identity
21×times-frac associate-*r*
20×associate-*l* pow-prod-down
6×unswap-sqr
5×cbrt-undiv cbrt-prod div-exp
4×associate-*r/ *-commutative add-log-exp
3×associate-*l/
2×div-inv
Counts
4 → 123
Calls
4 calls:
13.0ms
(* (* (cbrt 4.5) (cbrt 4.5)) (* z (* (/ t a) (cbrt 4.5))))
7.0ms
(* (/ t a) (cbrt 4.5))
7.0ms
(* z (* (/ t a) (cbrt 4.5)))
6.0ms
(* x (/ y a))

series32.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* (cbrt 4.5) (cbrt 4.5)) (* z (* (/ t a) (cbrt 4.5))))
5.0ms
(* (/ t a) (cbrt 4.5))
10.0ms
(* z (* (/ t a) (cbrt 4.5)))
5.0ms
(* x (/ y a))

simplify67.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049621034
149621034

prune242.0ms

Filtered
83 candidates to 135 candidates (-62.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh01010
Picked011
Done011
Total13512147

Merged error: 0.0b

Counts
147 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt 0.5) (* x (* (/ y a) (sqrt 0.5))))
0.4b
(* (/ y a) (sqrt 0.5))
5.6b
(* z (/ t a))
5.8b
(* x (* (/ y a) (sqrt 0.5)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×add-exp-log add-cbrt-cube
25×associate-*l*
24×add-cube-cbrt *-un-lft-identity
22×pow1
21×times-frac associate-*r*
18×prod-exp cbrt-unprod
11×pow-prod-down
8×sqrt-prod
6×unswap-sqr
4×cbrt-undiv associate-*r/ div-exp *-commutative add-log-exp
3×associate-*l/
2×div-inv
Counts
4 → 117
Calls
4 calls:
11.0ms
(* (sqrt 0.5) (* x (* (/ y a) (sqrt 0.5))))
7.0ms
(* (/ y a) (sqrt 0.5))
6.0ms
(* z (/ t a))
7.0ms
(* x (* (/ y a) (sqrt 0.5)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (sqrt 0.5) (* x (* (/ y a) (sqrt 0.5))))
5.0ms
(* (/ y a) (sqrt 0.5))
5.0ms
(* z (/ t a))
9.0ms
(* x (* (/ y a) (sqrt 0.5)))

simplify52.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05572993

prune171.0ms

Filtered
83 candidates to 129 candidates (-55.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1281129
Fresh279
Picked011
Done022
Total13011141

Merged error: 0b

Counts
141 → 11

regimes1.5s

Accuracy

95.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 8.3b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
029998
129998

end0.0ms

sample896.0ms

Algorithm
intervals
Results
353.0ms8000×body80valid
152.0ms3189×body80invalid

Profiling

Loading profile data...