Details

Time bar (total: 2.8s)

sample36.0ms

Algorithm
intervals
Results
18.0ms285×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
3.3b
(/ x (/ (* z (- y t)) 2.0))

rewrite18.0ms

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))

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0433735
11861559
25001556

prune160.0ms

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: 0.0b

Counts
104 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
3.2b
(* x (/ (/ 2.0 (- y t)) z))

rewrite50.0ms

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:
6.0ms
(/ 2.0 (- y t))
9.0ms
(/ (/ 2.0 (- y t)) z)
20.0ms
(* x (/ (/ 2.0 (- y t)) z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 2.0 (- y t))
66.0ms
(/ (/ 2.0 (- y t)) z)
72.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify83.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07511662
134341581
250011581

prune481.0ms

Filtered
243 candidates to 183 candidates (75.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2421243
Fresh257
Picked011
Done000
Total2447251

Merged error: 0b

Counts
251 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
3.3b
(/ (/ (* z (- y t)) 2.0) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
119×add-sqr-sqrt
117×*-un-lft-identity
115×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
18×prod-diff
14×cbrt-undiv
11×distribute-rgt-in distribute-lft-in
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg associate-*r/ clear-num
1×flip3-- pow-flip pow-prod-down associate-/r/ *-commutative flip-- associate-/l/ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 230
Calls
3 calls:
7.0ms
(* z (- y t))
11.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
8.0ms
(/ (/ (* z (- y t)) 2.0) x)

series200.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* z (- y t))
93.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
68.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify119.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09102116
144971752
250011611

prune282.0ms

Filtered
239 candidates to 122 candidates (51.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2381239
Fresh145
Picked101
Done101
Total2415246

Merged error: 0b

Counts
246 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

1.2b
(- (* y z) (* t z))
3.3b
(/ (* x 2.0) (- (* y z) (* t z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
3×distribute-rgt-out--
2×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg fma-neg diff-log prod-diff prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
2 → 44
Calls
2 calls:
4.0ms
(- (* y z) (* t z))
6.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (* y z) (* t z))
58.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0227290
11004244
25001240

prune85.0ms

Filtered
50 candidates to 38 candidates (76.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New50050
Fresh044
Picked011
Done000
Total50555

Merged error: 0b

Counts
55 → 5

regimes215.0ms

Accuracy

84.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03334
13334

end0.0ms

sample542.0ms

Algorithm
intervals
Results
323.0ms8712×body80valid