Details

Time bar (total: 6.8s)

sample40.0ms

Algorithm
intervals
Results
9.0ms228×body80valid
5.0ms13×body320valid
2.0ms17×body640valid
1.0msbody1280valid
1.0ms13×body160valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
3.4b
(- (+ x y) (/ (* (- z t) y) (- a t)))
12.5b
(/ (* (- z t) y) (- a t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
flip3-- associate-*l/ flip-- difference-of-squares
associate-*r*
cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
6.0ms
(* (- z t) y)
9.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms
(/ (* (- z t) y) (- a t))

series55.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- z t) y)
32.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
17.0ms
(/ (* (- z t) y) (- a t))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0383461
11704422
25001422

prune359.0ms

Filtered
79 candidates to 56 candidates (29.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New691079
Fresh000
Picked101
Done000
Total701080

Merged error: 4.3b

Counts
80 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
4.4b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.2b
(/ (- z t) (/ (- a t) y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
180×add-sqr-sqrt
176×*-un-lft-identity
87×add-cube-cbrt
45×difference-of-squares
44×distribute-lft-out--
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
div-inv add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 flip3-- div-sub flip--
frac-2neg diff-log clear-num frac-sub
sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
3 → 197
Calls
3 calls:
5.0ms
(/ (- a t) y)
35.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms
(/ (- z t) (/ (- a t) y))

series61.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- a t) y)
35.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
20.0ms
(/ (- z t) (/ (- a t) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08531851
133261798
250011798

prune1.4s

Filtered
206 candidates to 138 candidates (33.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1988206
Fresh639
Picked101
Done000
Total20511216

Merged error: 4.0b

Counts
216 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
4.9b
(- y (/ (- z t) (/ (- a t) y)))
10.2b
(/ (- z t) (/ (- a t) y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
180×add-sqr-sqrt
174×*-un-lft-identity
87×add-cube-cbrt
45×difference-of-squares
43×distribute-lft-out--
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 flip3-- div-sub flip--
frac-2neg clear-num associate-/r/
sub-neg distribute-rgt-out-- diff-log associate--r-
Counts
3 → 193
Calls
3 calls:
6.0ms
(/ (- a t) y)
31.0ms
(- y (/ (- z t) (/ (- a t) y)))
11.0ms
(/ (- z t) (/ (- a t) y))

series51.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- a t) y)
25.0ms
(- y (/ (- z t) (/ (- a t) y)))
20.0ms
(/ (- z t) (/ (- a t) y))

simplify74.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07731773
129751720
250011720

prune1.9s

Filtered
202 candidates to 137 candidates (32.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2011202
Fresh01010
Picked101
Done000
Total20211213

Merged error: 4.0b

Counts
213 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
0.6b
(* y (- 1 (/ (- z t) (- a t))))
3.3b
(- 1 (/ (- z t) (- a t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
49×*-un-lft-identity
29×times-frac
20×difference-of-squares
17×add-cube-cbrt
14×distribute-lft-out--
associate-*r*
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
flip3-- div-sub flip--
distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate--r-
associate-*r/ associate-/r/ associate-/l/
cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 101
Calls
3 calls:
7.0ms
(/ (- z t) (- a t))
17.0ms
(* y (- 1 (/ (- z t) (- a t))))
15.0ms
(- 1 (/ (- z t) (- a t)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (- z t) (- a t))
25.0ms
(* y (- 1 (/ (- z t) (- a t))))
15.0ms
(- 1 (/ (- z t) (- a t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0386711
11432667
25002667

prune583.0ms

Filtered
110 candidates to 75 candidates (31.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1046110
Fresh3710
Picked101
Done000
Total10813121

Merged error: 3.0b

Counts
121 → 13

regimes649.0ms

Accuracy

20.9% (3.8b remaining)

Error of 6.9b against oracle of 3.1b and baseline of 7.9b

bsearch106.0ms

Steps
ItersRangePoint
9
1.2282226378922009e-116
1.066171597753272e-110
3.7046519394890442e-112
7
-1.7256105859264264e-143
-1.382549887182002e-145
-3.122134253149997e-145

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03210
13210

end0.0ms

sample919.0ms

Algorithm
intervals
Results
273.0ms7333×body80valid
68.0ms458×body640valid
40.0ms219×body1280valid
39.0ms377×body320valid
20.0ms281×body160valid
3.0ms15×body2560valid

Profiling

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