Details

Time bar (total: 5.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 5.9b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.8b
(/ x (/ (* z (- y t)) 2.0))

rewrite21.0ms

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:
11.0ms
(* z (- y t))
7.0ms
(/ 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))

simplify48.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0433735
11861559
25001556

prune191.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New957102
Fresh011
Picked101
Done000
Total968104

Merged error: 0b

Counts
104 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.9b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite50.0ms

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))
30.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09191696
142841528
250011521

prune463.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2171218
Fresh347
Picked011
Done000
Total2206226

Merged error: 0b

Counts
226 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.9b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite53.0ms

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))
20.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
78.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
013633876
150013759

prune1.1s

Filtered
372 candidates to 287 candidates (77.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3711372
Fresh134
Picked011
Done011
Total3726378

Merged error: 0b

Counts
378 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (/ (- y t) 2.0))
0.2b
(/ (/ 1 (/ (- y t) 2.0)) z)
5.3b
(* x (/ (/ 1 (/ (- y t) 2.0)) z))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
1214×times-frac
686×add-sqr-sqrt
667×*-un-lft-identity
515×add-cube-cbrt
190×associate-*r*
75×distribute-lft-out-- difference-of-squares
65×associate-/l*
61×add-exp-log
35×div-exp div-inv
31×add-cbrt-cube
22×associate-/r*
15×cbrt-undiv
8×prod-exp associate-/r/
6×pow1 rec-exp 1-exp unswap-sqr
4×cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 599
Calls
3 calls:
8.0ms
(/ 1 (/ (- y t) 2.0))
17.0ms
(/ (/ 1 (/ (- y t) 2.0)) z)
50.0ms
(* x (/ (/ 1 (/ (- y t) 2.0)) z))

series188.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (/ (- y t) 2.0))
71.0ms
(/ (/ 1 (/ (- y t) 2.0)) z)
76.0ms
(* x (/ (/ 1 (/ (- y t) 2.0)) z))

simplify93.0ms

Algorithm
egg-herbie
Counts
608 → 608
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
019425795
150015336

prune1.5s

Filtered
608 candidates to 382 candidates (62.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6062608
Fresh213
Picked011
Done022
Total6086614

Merged error: 0b

Counts
614 → 6

regimes141.0ms

Accuracy

37.2% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 5.5b

bsearch87.0ms

Steps
ItersRangePoint
9
9.871094280729447e+148
1.441465003733898e+154
9.956730774064004e+148
8
-1.0394841364085796e-181
-2.947927886349733e-184
-4.171959179979961e-182

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03224
13224

end0.0ms

sample497.0ms

Algorithm
intervals
Results
271.0ms8754×body80valid