Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms284×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: 6.7b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite15.0ms

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))

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353467
11535417
25001414

prune156.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75580
Fresh011
Picked101
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.5b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite50.0ms

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:
35.0ms
(/ x (/ (- y t) 2.0))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09151676
142801508
250011501

prune385.0ms

Filtered
214 candidates to 150 candidates (70.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2131214
Fresh235
Picked011
Done000
Total2155220

Merged error: 0b

Counts
220 → 5

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015643639
150013548

prune589.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3020302
Fresh033
Picked011
Done011
Total3025307

Merged error: 0b

Counts
307 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
15.1b
(cbrt (/ x (/ (- y t) 2.0)))
15.1b
(cbrt (/ x (/ (- y t) 2.0)))
15.1b
(cbrt (/ x (/ (- y t) 2.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
317×times-frac
210×add-sqr-sqrt
207×*-un-lft-identity
186×cbrt-prod
152×add-cube-cbrt
27×distribute-lft-out-- difference-of-squares
26×add-exp-log
13×associate-*l* div-inv
12×prod-exp add-cbrt-cube
11×cbrt-div
9×pow1
6×cbrt-unprod
5×frac-times associate-*r/
4×div-exp add-log-exp
3×pow1/3 pow-prod-down associate-*l/ associate-/r/ unswap-sqr
2×cbrt-undiv rec-exp 1-exp
1×associate-*r* *-commutative
Counts
4 → 259
Calls
4 calls:
31.0ms
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))

series801.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
210.0ms
(cbrt (/ x (/ (- y t) 2.0)))
204.0ms
(cbrt (/ x (/ (- y t) 2.0)))
204.0ms
(cbrt (/ x (/ (- y t) 2.0)))

simplify91.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07633196
128023075
250013043

prune981.0ms

Filtered
271 candidates to 209 candidates (77.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2710271
Fresh022
Picked011
Done022
Total2715276

Merged error: 0b

Counts
276 → 5

regimes245.0ms

Accuracy

79.3% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03633
13633

end0.0ms

sample528.0ms

Algorithm
intervals
Results
314.0ms8718×body80valid

Profiling

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