Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

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: 7.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite20.0ms

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:
39.0ms
(* z (- y t))
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0433735
11861559
25001556

prune169.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New966102
Fresh000
Picked011
Done000
Total967103

Merged error: 0.0b

Counts
103 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.7b
(* (/ 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:
8.0ms
(/ 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))
43.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09191696
142841528
250011521

prune405.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2171218
Fresh235
Picked011
Done011
Total2196225

Merged error: 0b

Counts
225 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
6.7b
(* x (/ (/ 2.0 (- y t)) z))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 234
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
9.0ms
(/ (/ 2.0 (- y t)) z)
25.0ms
(* x (/ (/ 2.0 (- y t)) z))

series194.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 2.0 (- y t))
73.0ms
(/ (/ 2.0 (- y t)) z)
80.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify88.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07511662
134341581
250011581

prune613.0ms

Filtered
243 candidates to 183 candidates (75.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2421243
Fresh123
Picked011
Done022
Total2436249

Merged error: 0b

Counts
249 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
5.6b
(/ (* x (/ 2.0 (- y t))) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(* x (/ 2.0 (- y t)))
8.0ms
(/ (* x (/ 2.0 (- y t))) z)

series147.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 2.0 (- y t))
33.0ms
(* x (/ 2.0 (- y t)))
74.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352565
11631498
25002498

prune170.0ms

Filtered
116 candidates to 82 candidates (70.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1160116
Fresh022
Picked011
Done033
Total1166122

Merged error: 0b

Counts
122 → 6

regimes141.0ms

Accuracy

57.2% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.2b

bsearch71.0ms

Steps
ItersRangePoint
10
1.314833454423355e+61
1.2726047896237848e+77
1.3481499655370494e+61
7
-5.437652073963712e+44
-3.1374880360566964e+43
-7.051061478028752e+43

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample509.0ms

Algorithm
intervals
Results
278.0ms8723×body80valid