Details

Time bar (total: 6.9s)

sample51.0ms

Algorithm
intervals
Results
28.0ms436×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

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: 17.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 4.0) t)
0.7b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.5b
(* (* (* z 4.0) t) a)
14.7b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* z 4.0) t)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series324.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* z 4.0) t)
78.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
32.0ms
(* (* (* z 4.0) t) a)
198.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify66.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0446680
12162574
25001574

prune239.0ms

Filtered
89 candidates to 55 candidates (61.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 5.6b

Counts
90 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.6b
(/ b (* z c))
6.2b
(/ (* a t) c)
6.6b
(/ (* x y) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
9.0ms
(/ (* x y) (* z c))

series110.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ b (* z c))
18.0ms
(/ (* a t) c)
27.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384

prune277.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh7512
Picked101
Done000
Total10413117

Merged error: 0.0b

Counts
117 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.6b
(/ b (* z c))
6.6b
(/ (* x y) (* z c))
6.9b
(/ a (/ c t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))
6.0ms
(/ a (/ c t))

series111.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ b (* z c))
31.0ms
(/ (* x y) (* z c))
20.0ms
(/ a (/ c t))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0634870
13152746
25001746

prune404.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1503153
Fresh3912
Picked101
Done000
Total15412166

Merged error: 0.0b

Counts
166 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (* (cbrt a) (cbrt a)) (* (cbrt t) (cbrt t))) (/ (cbrt a) (/ c (cbrt t))))
2.7b
(/ (cbrt a) (/ c (cbrt t)))
4.6b
(/ b (* z c))
6.6b
(/ (* x y) (* z c))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
502×times-frac
266×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
252×cbrt-prod
137×associate-*r*
95×add-exp-log
53×add-cbrt-cube
44×prod-exp cbrt-unprod
24×cbrt-undiv div-exp associate-/r*
22×pow1
17×div-inv
13×pow-prod-down
10×associate-/l*
4×add-log-exp
3×frac-2neg clear-num
2×associate-/r/
1×associate-*r/ associate-*l* *-commutative
Counts
4 → 399
Calls
4 calls:
42.0ms
(* (* (* (cbrt a) (cbrt a)) (* (cbrt t) (cbrt t))) (/ (cbrt a) (/ c (cbrt t))))
9.0ms
(/ (cbrt a) (/ c (cbrt t)))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series196.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* (* (cbrt a) (cbrt a)) (* (cbrt t) (cbrt t))) (/ (cbrt a) (/ c (cbrt t))))
98.0ms
(/ (cbrt a) (/ c (cbrt t)))
19.0ms
(/ b (* z c))
34.0ms
(/ (* x y) (* z c))

simplify83.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
018295004
150014769

prune2.0s

Filtered
411 candidates to 352 candidates (85.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New4101411
Fresh11011
Picked101
Done000
Total41211423

Merged error: 0.0b

Counts
423 → 11

regimes740.0ms

Accuracy

12.2% (9.3b remaining)

Error of 9.5b against oracle of 0.1b and baseline of 10.8b

bsearch529.0ms

Steps
ItersRangePoint
8
6.165422883694316e+179
1.7243082119503658e+183
1.9796359660529541e+180
7
1.6921153520127266e-82
7.272597338096974e-81
8.66076968987419e-82
10
1.601655691670321e-121
2.3772791252378148e-110
2.111900682611236e-110
7
-6.459864129307685e-159
-4.03214411634288e-160
-6.388702905796197e-159
11
-3.670619078646081e+30
-199531.52981316336
-3.514776975014127e+30
6
-4.235296795275842e+167
-9.662401109062803e+166
-1.84619671424048e+167

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010998
111198
211198

end0.0ms

sample1.3s

Algorithm
intervals
Results
770.0ms12828×body80valid

Profiling

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