Details

Time bar (total: 4.6s)

sample26.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.5b
(/ 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))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
11.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0353467
11535417
25002414

prune107.0ms

Filtered
80 candidates to 57 candidates (28.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75580
Fresh011
Picked101
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
6.6b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite47.0ms

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))
27.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
15.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09151676
142801508
250011501

prune297.0ms

Filtered
214 candidates to 149 candidates (30.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2104214
Fresh145
Picked101
Done000
Total2128220

Merged error: 0b

Counts
220 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
6.5b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite54.0ms

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))
20.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (- y t) 2.0))
15.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013593858
150023741

prune436.0ms

Filtered
368 candidates to 283 candidates (23.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3644368
Fresh437
Picked101
Done000
Total3697376

Merged error: 0b

Counts
376 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
1.7b
(/ (/ x (/ (cbrt (- y t)) 2.0)) z)
3.3b
(* (/ 1 (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (/ (cbrt (- y t)) 2.0)) z))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
1666×times-frac
888×add-sqr-sqrt
841×*-un-lft-identity
706×add-cube-cbrt
328×cbrt-prod
271×associate-*r*
131×add-exp-log
89×associate-/l*
65×distribute-lft-out-- difference-of-squares
64×div-exp
55×add-cbrt-cube
40×prod-exp
32×cbrt-undiv
31×div-inv
16×cbrt-div cbrt-unprod
15×associate-*l* associate-/r/ unswap-sqr
8×rec-exp flip3-- 1-exp flip--
6×pow1
5×frac-times
4×add-log-exp
3×associate-*r/ associate-*l/ associate-/r*
2×pow1/3
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 759
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
27.0ms
(/ (/ x (/ (cbrt (- y t)) 2.0)) z)
116.0ms
(* (/ 1 (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (/ (cbrt (- y t)) 2.0)) z))

series113.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- y t))
26.0ms
(cbrt (- y t))
39.0ms
(/ (/ x (/ (cbrt (- y t)) 2.0)) z)
22.0ms
(* (/ 1 (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (/ (cbrt (- y t)) 2.0)) z))

simplify165.0ms

Algorithm
egg-herbie
Counts
771 → 771
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
0367611154
1500110898

prune1.6s

Filtered
771 candidates to 638 candidates (17.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New7710771
Fresh066
Picked011
Done000
Total7717778

Merged error: 0b

Counts
778 → 7

regimes549.0ms

Accuracy

96.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03535
13535

end0.0ms

sample723.0ms

Algorithm
intervals
Results
316.0ms8736×body80valid

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