Details

Time bar (total: 4.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

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: 5.4b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
7.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series128.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (* z (- y t)) 2.0)
32.0ms
(* z (- y t))
45.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413592
11829518
25002515

prune206.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1006106
Fresh101
Picked011
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.2b
(* (/ 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×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
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:
36.0ms
(/ x (/ (- y t) 2.0))
43.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09151676
142801508
250011501

prune451.0ms

Filtered
214 candidates to 149 candidates (69.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2113214
Fresh325
Picked011
Done101
Total2156221

Merged error: 0b

Counts
221 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.1b
(/ (/ 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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
17.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series104.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
74.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune1.0s

Filtered
368 candidates to 283 candidates (76.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3671368
Fresh134
Picked011
Done011
Total3686374

Merged error: 0b

Counts
374 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ (- y t) (sqrt 2.0)))
0.4b
(/ (- y t) (sqrt 2.0))
0.4b
(/ (sqrt 2.0) z)
4.1b
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
503×times-frac
385×add-sqr-sqrt
338×*-un-lft-identity
240×add-cube-cbrt
151×sqrt-prod
107×associate-*r*
49×distribute-lft-out-- difference-of-squares
43×associate-/r*
34×add-exp-log add-cbrt-cube
22×associate-*l*
14×cbrt-undiv div-exp associate-/l*
12×div-inv unswap-sqr
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/r/ associate-/l/
1×frac-times flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 414
Calls
4 calls:
10.0ms
(/ x (/ (- y t) (sqrt 2.0)))
6.0ms
(/ (- y t) (sqrt 2.0))
4.0ms
(/ (sqrt 2.0) z)
51.0ms
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ x (/ (- y t) (sqrt 2.0)))
88.0ms
(/ (- y t) (sqrt 2.0))
47.0ms
(/ (sqrt 2.0) z)
165.0ms
(* (/ (sqrt 2.0) z) (/ x (/ (- y t) (sqrt 2.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
426 → 426
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012493889
150013654

prune927.0ms

Filtered
426 candidates to 245 candidates (57.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4260426
Fresh033
Picked011
Done022
Total4266432

Merged error: 0b

Counts
432 → 6

regimes132.0ms

Accuracy

47.2% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.3b

bsearch56.0ms

Steps
ItersRangePoint
4
5.8475849430633325e+32
9.770545498883423e+32
5.9189247350309146e+32
5
-1.2782177119109352e-148
-5.540009797186545e-149
-7.87198614559774e-149

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12711

end0.0ms

sample481.0ms

Algorithm
intervals
Results
258.0ms8707×body80valid