Details

Time bar (total: 6.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.3b
(/ x (/ (* z (- y t)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 96
Calls
2 calls:
8.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
47.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0433735
11861559
25001556

prune172.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New984102
Fresh000
Picked011
Done000
Total985103

Merged error: 0.0b

Counts
103 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.3b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
33.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
51.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09191696
142841528
250011521

prune433.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2144218
Fresh033
Picked101
Done011
Total2158223

Merged error: 0b

Counts
223 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.0b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
76.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify262.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013633876
150013759

prune824.0ms

Filtered
372 candidates to 287 candidates (77.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3693372
Fresh426
Picked011
Done011
Total3737380

Merged error: 0b

Counts
380 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
0.7b
(/ 1 (/ z (/ x (/ (- y t) 2.0))))
4.7b
(/ z (/ x (/ (- y t) 2.0)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
3252×times-frac
1630×add-sqr-sqrt *-un-lft-identity
1318×add-cube-cbrt
272×associate-/r*
156×distribute-lft-out-- difference-of-squares
75×div-inv
51×add-exp-log
35×div-exp
31×add-cbrt-cube
23×associate-/r/
19×cbrt-undiv
9×associate-/l*
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 1164
Calls
3 calls:
8.0ms
(/ x (/ (- y t) 2.0))
41.0ms
(/ 1 (/ z (/ x (/ (- y t) 2.0))))
21.0ms
(/ z (/ x (/ (- y t) 2.0)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ x (/ (- y t) 2.0))
46.0ms
(/ 1 (/ z (/ x (/ (- y t) 2.0))))
81.0ms
(/ z (/ x (/ (- y t) 2.0)))

simplify234.0ms

Algorithm
egg-herbie
Counts
1173 → 1173
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0359315713
1500115145

prune2.5s

Filtered
1173 candidates to 760 candidates (64.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New117301173
Fresh044
Picked011
Done022
Total117371180

Merged error: 0b

Counts
1180 → 7

regimes145.0ms

Accuracy

45% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.3b

bsearch76.0ms

Steps
ItersRangePoint
7
1.468725361162229e+20
3.1498179945448807e+22
1.6829858212926905e+20
8
1.944460460251644e-192
7.983299712920705e-190
7.715215687934671e-191
3
-3.1884204575185385e-143
-2.5290905860452764e-143
-3.1472123405514598e-143

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample480.0ms

Algorithm
intervals
Results
262.0ms8839×body80valid

Profiling

Loading profile data...