Details

Time bar (total: 4.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms284×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: 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))

rewrite23.0ms

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:
11.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0433735
11861559
25001556

prune173.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New975102
Fresh011
Picked101
Done000
Total986104

Merged error: 0.0b

Counts
104 → 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)))

rewrite49.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
28.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
50.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify114.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09191696
142841528
250011521

prune398.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2171218
Fresh235
Picked011
Done000
Total2195224

Merged error: 0b

Counts
224 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
14.0ms
(/ (/ x z) (/ (- y t) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015663649
150013558

prune608.0ms

Filtered
304 candidates to 219 candidates (72.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3040304
Fresh033
Picked011
Done011
Total3045309

Merged error: 0b

Counts
309 → 5

localize11.0ms

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)))

rewrite76.0ms

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×expm1-log1p-u div-exp log1p-expm1-u 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 → 267
Calls
4 calls:
29.0ms
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))
9.0ms
(cbrt (/ x (/ (- y t) 2.0)))
8.0ms
(cbrt (/ x (/ (- y t) 2.0)))

series774.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (/ 1 z) (* (cbrt (/ x (/ (- y t) 2.0))) (cbrt (/ x (/ (- y t) 2.0)))))
196.0ms
(cbrt (/ x (/ (- y t) 2.0)))
197.0ms
(cbrt (/ x (/ (- y t) 2.0)))
206.0ms
(cbrt (/ x (/ (- y t) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07703250
128133129
250013097

prune833.0ms

Filtered
279 candidates to 217 candidates (77.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2790279
Fresh022
Picked011
Done022
Total2795284

Merged error: 0b

Counts
284 → 5

regimes246.0ms

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

sample519.0ms

Algorithm
intervals
Results
303.0ms8718×body80valid

Profiling

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