Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify21.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ 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:
7.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0433735
11861559
25001556

prune178.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New948102
Fresh101
Picked101
Done000
Total968104

Merged error: 0b

Counts
104 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.5b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite51.0ms

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:
11.0ms
(/ x (/ (- y t) 2.0))
28.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (/ (- y t) 2.0))
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09191696
142841528
250011521

prune400.0ms

Filtered
218 candidates to 153 candidates (70.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2171218
Fresh167
Picked101
Done000
Total2197226

Merged error: 0b

Counts
226 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.4b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite55.0ms

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))
17.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series103.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
68.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013633876
150013759

prune764.0ms

Filtered
372 candidates to 287 candidates (77.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3702372
Fresh246
Picked011
Done000
Total3727379

Merged error: 0b

Counts
379 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.2b
(* (/ 1 (- y t)) (* x 2.0))
5.4b
(/ (* (/ 1 (- y t)) (* x 2.0)) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
38×add-sqr-sqrt *-un-lft-identity
35×add-cbrt-cube
33×times-frac
24×add-cube-cbrt prod-exp
21×associate-*l*
19×div-exp
12×cbrt-unprod
10×cbrt-undiv
9×pow1
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
5×rec-exp 1-exp
4×associate-/r/ associate-/l*
3×expm1-log1p-u pow-prod-down log1p-expm1-u div-inv add-log-exp
2×flip3-- frac-2neg associate-*l/ clear-num flip--
1×pow-flip associate-*r* *-commutative associate-/l/ inv-pow
Counts
3 → 124
Calls
3 calls:
5.0ms
(/ 1 (- y t))
10.0ms
(* (/ 1 (- y t)) (* x 2.0))
11.0ms
(/ (* (/ 1 (- y t)) (* x 2.0)) z)

series233.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (- y t))
81.0ms
(* (/ 1 (- y t)) (* x 2.0))
119.0ms
(/ (* (/ 1 (- y t)) (* x 2.0)) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0466718
12399568
25001529

prune164.0ms

Filtered
133 candidates to 74 candidates (55.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh055
Picked011
Done011
Total1337140

Merged error: 0b

Counts
140 → 7

regimes196.0ms

Accuracy

50.2% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.6b

bsearch84.0ms

Steps
ItersRangePoint
9
1.0577176516808163e-09
0.008784522488119305
1.4967878306220874e-09
9
-6.121293714038797e-19
-8.466186651699857e-26
-5.297588508357969e-23

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample545.0ms

Algorithm
intervals
Results
317.0ms8716×body80valid

Profiling

Loading profile data...