Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune7.0ms

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))
6.5b
(/ 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))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0433735
11861559
25001556

prune175.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New957102
Fresh101
Picked101
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

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)))

series80.0ms

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

simplify109.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09191696
143141528
250011521

prune406.0ms

Filtered
218 candidates to 153 candidates (70.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2171218
Fresh156
Picked101
Done000
Total2196225

Merged error: 0b

Counts
225 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.8b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite56.0ms

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))
22.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series114.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (/ (- y t) 2.0))
78.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013633876
150013759

prune769.0ms

Filtered
372 candidates to 287 candidates (77.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3720372
Fresh055
Picked011
Done000
Total3726378

Merged error: 0b

Counts
378 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015663649
150013557

prune587.0ms

Filtered
304 candidates to 219 candidates (72.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3040304
Fresh044
Picked011
Done011
Total3046310

Merged error: 0b

Counts
310 → 6

regimes156.0ms

Accuracy

41.5% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.6b

bsearch102.0ms

Steps
ItersRangePoint
9
5.769002692700442e-199
1.5438579651596973e-189
5.028141571349253e-191
11
-4.3265089102687203e-91
-1.1841416056717907e-112
-1.995603766907998e-91

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample527.0ms

Algorithm
intervals
Results
312.0ms8665×body80valid