Details

Time bar (total: 5.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms294×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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod 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 → 74
Calls
2 calls:
6.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
47.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25001414

prune157.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh000
Picked011
Done000
Total76581

Merged error: 0.0b

Counts
81 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:
9.0ms
(/ x (/ (- y t) 2.0))
31.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (/ (- y t) 2.0))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify102.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09151676
142801508
250011501

prune423.0ms

Filtered
214 candidates to 150 candidates (70.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2104214
Fresh033
Picked101
Done011
Total2118219

Merged error: 0b

Counts
219 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.0b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite59.0ms

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:
9.0ms
(/ x (/ (- y t) 2.0))
23.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series117.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (/ (- y t) 2.0))
80.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013593858
150023741

prune839.0ms

Filtered
368 candidates to 283 candidates (76.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3653368
Fresh426
Picked011
Done011
Total3697376

Merged error: 0b

Counts
376 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
0.7b
(/ 1 (/ z (/ x (/ (- y t) 2.0))))
4.7b
(/ z (/ x (/ (- y t) 2.0)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
3252×times-frac
1630×add-sqr-sqrt *-un-lft-identity
1318×add-cube-cbrt
272×associate-/r*
156×distribute-lft-out-- difference-of-squares
75×div-inv
51×add-exp-log
35×div-exp
31×add-cbrt-cube
23×associate-/r/
19×cbrt-undiv
9×associate-/l*
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num add-log-exp
1×pow-flip inv-pow
Counts
3 → 1158
Calls
3 calls:
8.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(/ 1 (/ z (/ x (/ (- y t) 2.0))))
18.0ms
(/ z (/ x (/ (- y t) 2.0)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ x (/ (- y t) 2.0))
44.0ms
(/ 1 (/ z (/ x (/ (- y t) 2.0))))
81.0ms
(/ z (/ x (/ (- y t) 2.0)))

simplify231.0ms

Algorithm
egg-herbie
Counts
1167 → 1167
Iterations

Useful iterations: 1 (86.0ms)

IterNodesCost
0358615683
1500115115

prune2.4s

Filtered
1167 candidates to 754 candidates (64.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New116701167
Fresh044
Picked011
Done022
Total116771174

Merged error: 0b

Counts
1174 → 7

regimes146.0ms

Accuracy

45% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.3b

bsearch77.0ms

Steps
ItersRangePoint
7
1.468725361162229e+20
3.1498179945448807e+22
1.6829858212926905e+20
8
1.944460460251644e-192
7.983299712920705e-190
7.715215687934671e-191
3
-3.1884204575185385e-143
-2.5290905860452764e-143
-3.1472123405514598e-143

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample470.0ms

Algorithm
intervals
Results
261.0ms8839×body80valid

Profiling

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