Details

Time bar (total: 5.5s)

analyze1.1s

Algorithm
search

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms81×body80invalid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.2b
(- (* x y) (* (* z 9.0) t))
6.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite15.0ms

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 → 54
Calls
3 calls:
4.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series33.0ms

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))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune111.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New55863
Fresh000
Picked011
Done000
Total55964

Merged error: 6.2b

Counts
64 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* 9.0 (* t z)))
0.2b
(* 9.0 (* t z))
6.1b
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite17.0ms

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-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* 9.0 (* t z)))
6.0ms
(* 9.0 (* t z))
6.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (* x y) (* 9.0 (* t z)))
4.0ms
(* 9.0 (* t z))
18.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311398
11209340
25001340

prune98.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh077
Picked011
Done011
Total621072

Merged error: 6.2b

Counts
72 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
0.2b
(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
0.2b
(* (sqrt 9.0) (* t z))
6.1b
(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×associate-*l*
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×pow-prod-down
6×sqrt-prod add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp associate-*r* *-commutative flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 81
Calls
4 calls:
3.0ms
(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
9.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
6.0ms
(* (sqrt 9.0) (* t z))
7.0ms
(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

series65.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
10.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
5.0ms
(* (sqrt 9.0) (* t z))
32.0ms
(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0392733
11678588
25002567

prune143.0ms

Filtered
59 candidates to 93 candidates (-57.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh077
Picked011
Done022
Total9310103

Merged error: 6.2b

Counts
103 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 9.0) t)
0.2b
(- (* x y) (* (* z 9.0) t))
0.4b
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
6.1b
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
35×add-exp-log
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
14×div-exp
12×associate-/r*
11×associate-/r/
10×pow1
7×cbrt-undiv prod-exp
6×flip3-- flip-- div-inv add-log-exp
5×cbrt-unprod
4×associate-/l*
3×rec-exp 1-exp associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-*l* *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
4.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
6.0ms
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* z 9.0) t)
15.0ms
(- (* x y) (* (* z 9.0) t))
25.0ms
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
18.0ms
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04941191
125021048
250021001

prune110.0ms

Filtered
70 candidates to 129 candidates (-84.3%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1263129
Fresh066
Picked011
Done123
Total12712139

Merged error: 6.2b

Counts
139 → 12

regimes1.5s

Accuracy

0% (0.4b remaining)

Error of 7.2b against oracle of 6.9b and baseline of 7.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

analyze1.1s

Algorithm
search

sample829.0ms

Algorithm
intervals
Results
344.0ms8000×body80valid
142.0ms3127×body80invalid

Profiling

Loading profile data...