Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

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: 3.7b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
3.6b
(/ 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))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0353467
11535417
25002414

prune163.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh101
Picked011
Done000
Total74882

Merged error: 0b

Counts
82 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
3.5b
(* 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×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
8.0ms
(/ 2.0 (- y t))
9.0ms
(/ (/ 2.0 (- y t)) z)
20.0ms
(* x (/ (/ 2.0 (- y t)) z))

series189.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 2.0 (- y t))
68.0ms
(/ (/ 2.0 (- y t)) z)
77.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify88.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07421638
134181557
250021557

prune453.0ms

Filtered
237 candidates to 177 candidates (74.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2370237
Fresh066
Picked011
Done011
Total2378245

Merged error: 0b

Counts
245 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
3.5b
(/ (/ (* z (- y t)) 2.0) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
107×add-sqr-sqrt
105×*-un-lft-identity
103×add-cube-cbrt
48×add-exp-log
28×div-exp associate-/r* add-cbrt-cube
22×div-inv
14×cbrt-undiv
10×associate-/l*
6×pow1
5×associate-*r* prod-exp
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in 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 → 206
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)

series194.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* z (- y t))
93.0ms
(/ 1 (/ (/ (* z (- y t)) 2.0) x))
67.0ms
(/ (/ (* z (- y t)) 2.0) x)

simplify101.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08281836
141831598
250021457

prune259.0ms

Filtered
215 candidates to 114 candidates (53.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2141215
Fresh145
Picked011
Done022
Total2158223

Merged error: 0b

Counts
223 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ x (/ (* z (- y t)) 2.0))
16.2b
(cbrt (/ x (/ (* z (- y t)) 2.0)))
16.2b
(cbrt (/ x (/ (* z (- y t)) 2.0)))
16.2b
(cbrt (/ x (/ (* z (- y t)) 2.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
78×cbrt-prod
62×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×div-inv
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 associate-/r/ add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×frac-2neg prod-exp clear-num cbrt-unprod
Counts
4 → 153
Calls
4 calls:
7.0ms
(/ x (/ (* z (- y t)) 2.0))
6.0ms
(cbrt (/ x (/ (* z (- y t)) 2.0)))
6.0ms
(cbrt (/ x (/ (* z (- y t)) 2.0)))
7.0ms
(cbrt (/ x (/ (* z (- y t)) 2.0)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ x (/ (* z (- y t)) 2.0))
171.0ms
(cbrt (/ x (/ (* z (- y t)) 2.0)))
171.0ms
(cbrt (/ x (/ (* z (- y t)) 2.0)))
168.0ms
(cbrt (/ x (/ (* z (- y t)) 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04051566
115001496
250011489

prune514.0ms

Filtered
165 candidates to 148 candidates (89.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh044
Picked011
Done033
Total1658173

Merged error: 0b

Counts
173 → 8

regimes145.0ms

Accuracy

57.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.9b

bsearch127.0ms

Steps
ItersRangePoint
9
8.841500414103373e-77
5.408545804608008e-68
3.4491082161929886e-68
9
-1.078654822932874e-269
-2.1977279806395006e-277
-9.091158031358271e-270
9
-2153303754240232.0
-1107150628.9395072
-8528901247920.436

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918

end0.0ms

sample554.0ms

Algorithm
intervals
Results
328.0ms8692×body80valid

Profiling

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